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Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for College Algebra (MindTap Course List)

117E 118E 119E 120E Self Check Find the slope of the line passing through P(3,4) and Q(5,9).2SC 3SC 4SC Self Check Find x in Figure 2-31.6SC Fill in the blanks. The slope of nonvertical line is defined to be the change in y ________ by the change in x.Fill in the blanks. The change in ____ is often called the rise.3E Fill in the blanks. When computing the slope from the coordinates of two points, always subtract the y-values and the x-value in the __________.Fill in the blanks. The symbol y means _____________ y.Fill in the blanks. The slope of a ________ line is 0.Fill in the blanks. The slope of a ___________ line is undefined.Fill in the blanks. If the slopes of two lines are equal, the lines are __________.Fill in the blanks. If the product of the slopes of two lines is 1, the lines are _________________.Fill in the blanks. If two lines are perpendicular, the product of their slopes is ________________.Practice Find the slope of the line passing through each pair of points, if possible. P(2,2);Q(1,1)Practice Find the slope of the line passing through each pair of points, if possible. P(3,1);Q(5,3)Practice Find the slope of the line passing through each pair of points, if possible. P(6,3);Q(6,2)Practice Find the slope of the line passing through each pair of points, if possible. P(2,5);Q(3,10)Practice Find the slope of the line passing through each pair of points, if possible. P(3,2);Q(1,5)Practice Find the slope of the line passing through each pair of points, if possible. P(3,7);Q(6,16)Practice Find the slope of the line passing through each pair of points, if possible. P(8,7);Q(4,1)Practice Find the slope of the line passing through each pair of points, if possible. P(5,17);Q(17,17)Practice Find the slope of the line passing through each pair of points, if possible. P(7,14);Q(2,14)Practice Find the slope of the line passing through each pair of points, if possible. P(4,3);Q(4,3)Practice Find the slope of the line passing through each pair of points, if possible. P(5,3);Q(5,2)Practice Find the slope of the line passing through each pair of points, if possible. P(2,7);Q(7,2)Practice Find the slope of the line passing through each pair of points, if possible. P(32,33);Q(52,73)Practice Find the slope of the line passing through each pair of points, if possible. P(25,13);Q(35,53)Practice Find the slope of the line passing through each pair of points, if possible. P(a+b,c);Q(b+c,a) assume ca Practice Find the slope of the line passing through each pair of points, if possible. P(b,0);Q(a+b,a) assume a0 Find two points on the line and use slope formula to find the slope of the line. y=3x+2 Find two points on the line and use slope formula to find the slope of the line. f(x)=5x8 Find two points on the line and use slope formula to find the slope of the line. f(x)=4x6 Find two points on the line and use slope formula to find the slope of the line. f(x)=13x+5 Find two points on the line and use slope formula to find the slope of the line. 5x10y=3 Find two points on the line and use slope formula to find the slope of the line. 8y+2x=5 Find two points on the line and use slope formula to find the slope of the line. 3(y+2)=2x3 Find two points on the line and use slope formula to find the slope of the line. 4(x2)=3y+2 Find two points on the line and use slope formula to find the slope of the line. 3(y+x)=3(x1)Find two points on the line and use slope formula to find the slope of the line. 2x+5=2(y+x)Find the slope of the line, if possible. y=7 Find the slope of the line, if possible. 2y=5 Find the slope of the line, if possible. f(x)=14 Find the slope of the line, if possible. f(x)=Find the slope of the line, if possible. x=12 Find the slope of the line, if possible. x7=0 Determine whether the slope of the line is positive, negative, 0, or undefined.Determine whether the slope of the line is positive, negative, 0, or undefined.Determine whether the slope of the line is positive, negative, 0, or undefined.Determine whether the slope of the line is positive, negative, 0, or undefined.Determine whether the slope of the line is positive, negative, 0, or undefined.Determine whether the slope of the line is positive, negative, 0, or undefined.Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=3;m2=13 Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=23;m2=32 Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=8;m2=22 Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=1;m2=1 Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=2;m2=22 Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=27;m2=28 Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=0.125;m2=8 Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=0.125;m2=18 Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=ab1;m2=a1b(a0,b0)Determine whether the lines with the given slopes are parallel, perpendicular, or neither. m1=(ab)1;m2=ba(a0,b0,ab)Determine whether the line through the given points and the line through R(3,5) and S(2,7) are parallel, perpendicular, or neither. P(2,4);Q(7,6)Determine whether the line through the given points and the line through R(3,5) and S(2,7) are parallel, perpendicular, or neither. P(3,8);Q(13,4)Determine whether the line through the given points and the line through R(3,5) and S(2,7) are parallel, perpendicular, or neither. P(4,6);Q(2,1)Determine whether the line through the given points and the line through R(3,5) and S(2,7) are parallel, perpendicular, or neither. P(0,9);Q(4,1)Determine whether the line through the given points and the line through R(3,5) and S(2,7) are parallel, perpendicular, or neither. P(a,a);Q(3a,6a)(a0)64E 65E Line PQ and RS are either parallel or perpendicular. Find x or y. Parallel: P(2,3);Q(5,7);R(3,1);S(6,y)Line PQ and RS are either parallel or perpendicular. Find x or y. Perpendicular: P(2,7);Q(1,0);R(9,5);S(2,y)68E Find the slopes of the lines PQ and PR, and determine whether points P, Q, and R lie on the same line. P(2,8);Q(6,9);R(2,5)70E 71E 72E Determine which, if any, of the three lines PQ, PR, and QR are perpendicular. P(5,4);Q(2,5);R(8,3)74E Determine which, if any, of the three lines PQ, PR, and QR are perpendicular. P(1,3);Q(1,9);R(7,3)76E 77E 78E 79E 80E 81E 82E Parallelograms Show that the points A(2,2),B(3,3),C(2,6), and D(3,1) are the vertices of a parallelogram. show that both pairs of opposite sides are parallel.Trapezoids Show that the points E(1,2),F(5,1),G(3,4), and H(3,4) are the vertices of a trapezoid. Show that only one pairs of opposite sides is parallel.Geometry In the illustration, points M and N are midpoints of CB and BA, respectively, show that MN is parallel to AC.86E Rage of growth When a college started an aviation program, the administration agreed to predict enrollments using a straight-line method. If the enrollment during the first year was 14, and the enrollment during the fifth year was 42, find the average rate of growth per year was 42, find the average rate of growth per year the slope of the line. See the illustration.88E Rage of decrease The price of computers has been dropping steadily for the past ten years. If a desktop PC cost 6700 ten years ago, and the same computing power cost 2200 three years ago, find the average rate of decrease per year. Assume a straight-line model.90E 91E 92E 93E 94E 95E 96E 97E 98E 99E 100E 101E 102E 103E 104E 105E 106E Self-Check Use slope-intercept form to write an equation of the line with slope 73 and passing through 3, 1.2SC 3SC 4SC 5SC 6SC 7SC 8SC 9SC 10SC 1E 2E 3E 4E 5E 6E Use slope-intercept form to write an equation of the line with the given properties. m=3; b=-2 8E 9E 10E Use slope-intercept form to write an equation of the line with the given properties. m=a;b=1a.12E 13E 14E Use slope-intercept form to write an equation of a line passing through the give point and having the given slope. Express the answer in standard form. P(0,0);m=32.Use slope-intercept form to write an equation of a line passing through the give point and having the given slope. Express the answer in standard form. P(3,7);m=23.Use slope-intercept form to write an equation of a line passing through the give point and having the given slope. Express the answer in standard form. P(3,5);m=3.18E Use slope-intercept form to write an equation of a line passing through the give point and having the given slope. Express the answer in standard form. P(0,2);m=2.20E Find the slope and the y-intercept of the lines determined by the given equations. 3x2y=8 Find the slope and the y-intercept of the lines determined by the given equations. 2x+4y=12.Find the slope and the y-intercept of the lines determined by the given equations. 2(x+3y)=5.24E 25E 26E Write each equation in slope-intercept form to determine the slope and y-intercept. Then use the slope and y-intercept to graph the line. xy=1 28E 29E 30E Write each equation in slope-intercept form to determine the slope and y-intercept. Then use the slope and y-intercept to graph the line. 3(y4)=2(x3).32E Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. y=3x+4,y=3x7.Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. y=4x13,y=14x+13.Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. x+y=2,y=x+5 Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. x=y+2,y=x+3 37E 38E Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. 3x+6y=1,y=12x Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. x=3y+4,y=3x+7 Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. y=3,x=4 Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. y=3,y=7.Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. x=y23,3(y3)+x=0.Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. 2y=8,3(2+x)=3(y+2).Write an equation of the line with the given properties. Your answer should be written in standard form. m=2 passing through P 2, 4 Write an equation of the line with the given properties. Your answer should be written in standard form. m=3 passing through P 3, 5 Write an equation of the line with the given properties. Your answer should be written in standard form. m=2 passing through P(32,12)Write an equation of the line with the given properties. Your answer should be written in standard form. m=6 passing through P(14,2)Write an equation of the line with the given properties. Your answer should be written in standard form. m=25 passing through P(1,1).Write an equation of the line with the given properties. Your answer should be written in standard form. m=15 passing through P(2,3).Write an equation of the line with the given properties. Your answer should be written in standard form. m=0 passing through P(6,3).Write an equation of the line with the given properties. Your answer should be written in standard form. m=0 passing through P(7,5).Write an equation of the line with the given properties. Your answer should be written in standard form. m is undefined passing through P(6,3)Write an equation of the line with the given properties. Your answer should be written in standard form. m is undefined passing through P(6,1)Write an equation of the line with the given properties. Your answer should be written in standard form. m= passing through P(,0).56E Find an equation of each line shown. Your answer should be written in standard form.58E Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form. P(0,0),Q(4,4).Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form. P(5,5),Q(0,0).Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form. P(3,4),Q(0,3).Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form. P(4,0),Q(6,8).Write an equation in slope-intercept form if each line shown.Write an equation in slope-intercept form if each line shown.Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form. P(0,0),y=4x7 Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form. P(0,0),x=3y12 Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form. P(2,5),4xy=7 Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form. P(6,3),y+3x=12 Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form. P(4,2),x=54y2 Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form. P(1,5),x=34y+5 Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form. P(0,0),y=4x7 Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form. P(0,0),x=3y12 Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form. P(2,5),4xy=7 Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form. P(6,3),y+3x=12 Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form. P(4,2),x=54y2 76E Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the segment joining 2, 4 and -6, 10.78E 79E 80E Applications In Exercises 81-91, assume straight-line depreciation or straight-line appreciation. Depreciation A surfing van was purchased for 24,300. Its salvage value at the end of its 7-year useful life is expected to be 1900. Find a depreciation equation.Applications In Exercises 81-91, assume straight-line depreciation or straight-line appreciation. Depreciation A small business purchases the laptop computer shown. It will be depreciated over a 4-year period, when its salvage value will be 300.Find a depreciation equation.Applications In Exercises 81-91, assume straight-line depreciation or straight-line appreciation. Appreciation A condominimum in San Diego was purchased for 475,000. The owners expect the condominimum to double in value in 10 years. Find an appreciation equation.84E 85E Applications In Exercises 81-91, assume straight-line depreciation or straight-line appreciation. Depreciation. A Bose Wave Radio cost 555 when new and is expected to be worth 80 after 5 years. Whar will be worth after 3 years?87E 88E 89E Applications In Exercises 81-91, assume straight-line depreciation or straight-line appreciation. Value of an antique An antique clock is expected to be worth 350 after 2 years and 530 after 5 years. What will clock be worth after 7 years?Applications In Exercises 81-91, assume straight-line depreciation or straight-line appreciation. Purchase price of real estate A cottage that was purchased 3 years ago is now appraised at 47,700. If the property has been appreciating 3500 per year, find its original price.92E 93E Applications Printer charges A printer charges a fixed setup cost, plus 1 for every 100 copies. If 700 copies cost 52, how much will it cost to print 1000 copies?95E 96E 97E 98E 99E 100E 101E 102E 103E Applications Waste management The corrosive waste is industrial sewage limits the useful life of the piping in a waste processing plant to 12 years. The piping system was originally worth 137,000, and it will cost the company 33, 000 to remove it at the end of its 12-year useful life. Find a depreciation equation.105E 106E 107E 108E 109E 110E 111E 112E 113E 114E 115E 116E 117E 118E 119E 120E 121E 122E 123E 124E 125E 126E Self Check Graph: y=-x.2SC 3SC 4SC 5SC 6SC 7SC 8SC 9SC Fill in the blanks. The point where a graph intersects the x-axis is called the _______________.2E 3E 4E 5E 6E 7E 8E 9E 10E Practice Find the x- and y-intercepts of each graph. Do not graph the equation. y=x2-4 12E 13E 14E Practice Find the x- and y-intercepts of each graph. Do not graph the equation. y=x2-4x-5 Practice Find the x- and y-intercepts of each graph. Do not graph the equation. y=x2-10x+21 17E 18E Practice Find the x- and y-intercepts of each graph. Do not graph the equation. y=x3-9x 20E 21E 22E 23E 24E 25E 26E 27E 28E 29E 30E 31E 32E 33E 34E 35E 36E 37E 38E 39E

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