In Exercises 71-72, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. 71. Passing through (-2, 5) and (-6, 13) (Section 2.5, Example 2) 72. Passing through (-3, 0) and parallel to the line whose equation is -x + y = 7 (Section 2.5, Example 4)

Q: A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in…

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Q: 9. What is the slope of the line that passes through the points (-10,9) and (-12, 7)? Write your…

A: Equation of the straight line passes through the point (-10,9) and (-12,7) is [y - 9]/[7 - 9] = [x +…

Q: What is the​ slope-intercept form of the equation that passes through ​(6​,2​) and ​(−9​,2​)?

A: Slope-intercept form : y = mx + b where m is slope and b is y-intercept of the line.   Equation of…

Q: 2. Write an equation of a line that is perpendicular to the line represented by 3x - y = 8 and goes…

A: Slope-intetrcept form:            y = mx + C           where,           m = slope           C =…

Q: Find a linear equation whose graph is the straight line with the given properties. through (1, −8)…

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Q: 7. What is the equation of the line that passes through the coordinates (-1, -2) and (3, 10)?…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Line A, x - y = 8 , is parallel to line B which contains point (-5, 0). What is the equation of line…

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Q: What is the equation of the line that passes through the points (5, 1) and (-8, 14)?

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Q: True or False The point 11, 22 is on the line 2x + y = 4.

A: The equation of line 2x+y=4 & the point 11,22

Q: e point (-2, 2) and perpendicular to the line 3x+12y =-2.

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Q: What is an equation of the line that passes through the points (−4,−5)and (−2,−6)? Put your answer…

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Q: Find the point on the line 5x + y = 5 that is closest to the point (−2, 1).

A: We will solve the following.

Q: Write the equation of a line that is parallel to y= -7 and that passes through the point(,

A: If it is parallel to y = -7, its slope is zero (i.e. the value of y is the same everywhere).  It is…

Q: Passing through the point (-9, -2) and having a slope of 3.

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Q: Line A, y = -1/3x + 20, is perpendicular to line B which contains point (-4, -1). What is the…

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Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 1).

A: to find:- point Q(x,y).

Q: Line A, y = 1/3x - 1, is perpendicular to line B which contains point (-2, 0). What is the equation…

A: let equation of line perpendicular to y = 1/3x - 1 is 1/3y=-x+c

Q: In Exercises 105–108, use a graphing utility to graph each linear function. Then use the TRACE…

A: To Determine: use a graphing utility to graph each linear function .Then use the trace feature to…

Q: what is the equation of the line going through point (8, -9) with a slope of 2.5

A: Equation of line passes through point (x1,y1) and having slope m is given by y-y1 = m(x-x1) Detailed…

Q: What is an equation of the line that passes through the points (−4,−2)(−4,−2) and (8,1)(8,1)? Put…

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Q: For Exercises 91-92, use the fact that a median of a triangle is a line segment drawn from a vertex…

A: We have to find the equation of the median drawn from the vertex to the line formed by the other…

Q: 8- 6- 2+ -8 -6 -4 -4 4+ 6- -8- What is the equation of the line? 2.

A: Equation of line passes through a point (0,4) and parallel to x-axis

Q: What is an equation of the line that passes through the points (0, –5) and (-5, –1)?

A: Finding the equation of line from the given conditions

Q: In Exercises 49-56, use the given conditions to write an equation for each line in point-slope form…

A: As per bartleby guidelines for more than one question, only 1st one is to be answered. Please upload…

Q: What is an equation of the line that passes through the points (-6, 2)(−6,2) and (-4, -1)(−4,−1)

A: Given, A line is passing through the points -6, 2  and -4, -1 We have to write the equation of the…

Q: A straight line has slope 3 and y-intercept (0,1). Does the point (-1, -2) lie on the line

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Q: Write the equation of the linear function whose graph passes through (5, 1) and (4, 3). (Section…

A: The given points are 5,1  and  4,3

Q: Point (-2, 7), slope = -3 %3D b. Second point:

A: we have point (x1,y1)=(-2,7) and slope m=-3

Q: How far is the point (7,-8) from the line through (2,5) with a slope of

A: The given question belonging to the straight line in which we have to find the distance from the…

Q: Find the point on the line 2x + y = 6 that is closest to the point (−5, 3).

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Q: Find the point on the line 2x + y = 5 that is closest to the point (−4, 3).

A: See the details solution in below

Q: What is an equation of the line that passes through the point (-5,2) and is parallel to the line x…

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Q: Write the equation of a line that is perpendicular to the line y-2 4(-1) that goes through point…

A: Given : The line y - 2 = 4(x - 1) and the point (-4, 5).   To find the equation of a line that is…

Q: Line f has an equation of y = -3x + 2. Line g, which is perpendicular to line f, includes the point…

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Q: Find an equation of the line parallel to the line y= -9 and passing through the midpoint of the…

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Q: What is the distance between G(-4,1) and point (-12,1)

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Q: Find the point on the line 5x + y = 7 that is closest to the point (−2, 1).

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Q: Write the equation of the vertical line, through the point (8, - 4). The equation of the line is.…

A: The eqution of vertical line is given by x=k , where k is constant.

Q: A baseball is hit at a height Of one meter above the ground and reaches a maximum height of 33…

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Q: Line A, 4x - 2y = 10 , is parallel to line B which contains point (-2, 6). What is the equation of…

A: let equation of parallel line to 4x - 2y = 10 is 4x - 2y = C

Q: Line A, -3x - y = 10 , is parallel to line B which contains point (-2, 6). What is the equation of…

A: Equation of the line A can be rearranged as y=-3x-10 Compare this equation with y=mx+c Slope of the…

Q: Find the point on the line 4x + y = 6 that is closest to the point (−5, 3).

A: Here to solve question closest distance is perpendicular distance.

Q: what is the significance of intercepts in a quadratic and linear model

A: To find what is the significance of intercepts in a quadratic and linear model?

Q: Find the point on the line 5x + y = 9 that is closest to the point (−4, 1).

A:

Q: What is an equation of the line that passes through the points (2, -2) and(8,4)?

A: For points (x1,y1) and (x2,y2)Slope=y2-y1x2-x1 Therefore, slope, m=4--28-2=1

Q: What is an equation of the line that passes through the points (-4, 2)(−4,2) and (-8, -3)(−8,−3)?

A: Formula: The equation of line passing through two points (x1, y1) and (x2, y2) is given by…

Q: What is an equation of the line that passes through the points (0,2)(0,2)and (5,8)(5,8)?

A: Given: The points 0,2 and 5,8, To find: The equation of line which is passing through the given…

Q: Line A, -x – y= 3, is perpendicular to line B which contains point (-2, -5). What is the equation of…

A: let the equation of line perpendicular to -x – y= 3 is -x+y=c

Q: Does the line through the points (1, 0, –4) and (1, –2, 1) intersect - the x-axis? Explain your…

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Q: 6. What is the equation of the line joining the points (3, 4) and (-2, 5)?

A: Given point  (3, 4) and (-2, 5)  General equation of line passing through two point (X1, Y1 ) and…