Use slopes to verify that the graphs of the equations Ax + By = C and Bx - Ay = D are perpendicular. (Note: A + 0 and B + 0.)

Q: Slope ; containing the point (1, –1) 3

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Q: Suppose there is a straight line from z1 0 to z2 = 2+ 4i . You know that the equation of a straight…

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Q: Parallel to the line y=-3x+ 2; containing the point (-1,2)

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Q: Find an equation of the line that satisfies the given conditions. Through  (1, −1);   parallel to…

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Q: A container of fuel dispenses fuel at the rate of 5 gallons per second. If y represents the amount…

A: Rate of fuel dispense = 5 gallons per second x represents time passed in seconds y represents fuel…

Q: Find the general equation Ax + By = C for the line with slope m = y intercept - 2. - and %3D

A: Given: The slope of the line is -23. The y-intercept is -2.  Formula used: Slope intercept form. The…

Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: Given that line passes through point A and having x-intercepts = 4 and y-intercepts = -3

Q: The line perpendicular to y=x+5, passing through the point (3, 2).

A: You know that if you multiply slopes of two perpendicular lines you will get -1. m1 x m2 = -1

Q: Find the equation of straight lines through (x0,x0) and(I) parallel (ii) perpendicular to the…

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Q: Find an equation of the line that is parallel to the line 4x + 3y = 2 and passes through the point…

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Q: Find the equation of altitude PN in slope-intercept given M(-2, -1), N(1, 3), and Q(4, 1)

A: Given: In triangle MNQ, the coordinates of the vertices are M(-2, -1), N(1, 3), and Q(4, 1); and PN…

Q: Chose the slope-intercept form of the equation of the line through the point (-1,2) and…

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Q: Find the equation of the line that passes through the point (4, 3) and is perpendicular to 4x – 9y =…

A: Here we find the equation of line passes through (4,3) and is prependicular to 4x-9y=9.

Q: Determine whether there exists a constant c such that the line x + cy = 1: (a) has slope 4.     (b)…

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Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)² , and passing…

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Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)², and passing…

A: slope m at (2,1)  m = 2(2+5)2 m = 2*49 m = 98 so line equation y - y0 = m(x - x0 ) y -1 = 98(x - 2)…

Q: Use the given condition to write an equation for the line in slope-intercept form. Passing through…

A: It is given that the line passes through (5,4) and is perpendicular to the line

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

A: The given equation of the line is, y=x+1 Let the point x,x+1 is closest to the point 4,1 Using…

Q: Suppose there is a straight line from z1 = 0 to z2 = 2+4i You know that the equation of a straight…

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Q: Find an equation of the curve that passes through the point and has the given slope. 4y (32, 6), y'…

A: Here is the solution of the given problem.

Q: Suppose you're climbing a hill whose shape is given by the equation z = 1000 – 0.003x² – 0.005y?,…

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Q: Find the equation of the line perpendicular to the line 3x + 4y + 6 = 0 and making intercept -4on…

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Q: Find an equation of the graph that passes through the point and has the given slope. (27, 5),    y'…

A: Consider the equation

Q: Solve this linearvequation for yvand then determine the slope (m) of the line 3x -2y= 6

A: given3x-2y=6

Q: The line defined by the equation Y = –3 X + 6 slopes up to the right. Is this true?

A: Note that the line has a negative slope.In a line y=mx+c,slope is m. Here,m=-3.So,m<0.

Q: Find an equation of the line that satisfies the given conditions. Through (4,5);  parallel to the…

A: The equation of a line parallel to y axis is x = k where k is constant           …..(1) It is given…

Q: Find an equation of a line in standard for that has a y intercept of 2 and is parallel to the line…

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Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: Horizontal; containing the point (-3,2)

A: We have to find the equation

Q: Determine whether there exists a constant c such that the line ex - 2y = 4:  (a) Has slope 4…

A: a) We write the line in the y=mx+b form first  Given that slope=c/2=4  So, c=8  Answer(a): Yes, c=8…

Q: Find the slope intercept form of the line satisfying the given conditions. parallel to 4x+16y=23.…

A: The line parallel to the given line 4x+16y=23 should have the same slope as the given line.

Q: Find the equation of the line that passes through the point (-3, 5) and is parallel to the line X+…

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Q: find an equation of the graph that passes through the point and has the given slope (0,4) y'=x/6y

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Q: Use slopes to determine if the lines 2x+5y=3 and 5x+2y=-1 are perpendicular

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Q: Given the points (0,1) and (2,0) how would you find the slope intercept form?

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Q: Find a general form of an equation of the line through the point A that satisfies the given…

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Q: The graph of linear equation x+2y = 2, cuts the y-axis at:

A: Given linear equation is x+2y=2.

Q: Suppose there is a straight line from z1 = 0 to z2 = 2+4i You know that the equation of a straight…

A: Given, Z1= 0 Z2= 2+4i We have to find the slope(m) of the straight line joining Z1 and Z2

Q: Find the slope-intercept form of the line that satisfies the given conditions. x-intercept 6,…

A: Given:x-intercept is 6 and y-intercept is -3.The point notation of intercepts are,

Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: Given m=-3,x1=4,y1=0.

Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: we have to find the general form of an equation of the line passing through point A(5,-3) and slope…

Q: Find an equation (Ax + By = C) for the line that has the slope m = 2 and contains the point (-1, 3).

A: To find the equation

Q: If A has coordinates (2, 1) and B has coordinates (x, 3), find x so that the slope of AB is – 3.

A: If A has coordinates (2, 1)  and B has coordinates (x, 3). The slope of the line AB is m = -3. To…

Q: Perpendicular to the line y = 2x - 3; containing the point (1, –2)

A: Equation of a line passing through the point (a, b) and slope m is y-b=m(x-a)

Q: What is the slope of the secant line that intersects the graph of f (2) = /4x +1at ¢ = 0 and & = 6?…

A: fx=4x+1 When x=0, we get f0=40+1=1 When x=6, we get f6=46+1=5

Q: Find the equation of the line perpendicular to the line x - 7y + 5 = 0 and having x- in

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Q: Find the point of the line y = 2x − 1 that is closest to the origin.

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Q: Determine the value of A so that the line whose equation is Ax+y−7=0 is perpendicular to the line…

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Q: find an equation of the line l that passes through the point (-2,9) and satisfies the condition l…

A: Here we find the equation of the line l that passes throughthe point -2,9 and satisfies the…