Exercises 123–125 will help you prepare for the material covered in the next section. 123. Write the equation y - 5 = 7(x + 4) in slope-intercept form. 124. Write the equation y + 3 7 (x – 1) in slope-intercept form. 125. The equation of a line is x + 4y – 8 = 0. a. Write the equation in slope-intercept form and determine the slope. b. The product of the line's slope in part (a) and the slope of a second line is -1. What is the slope of the second line?

Q: 20) Write an equation of a line perpendicular to y = x - 5, that passes through the %3D point (4, 0)

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Q: True or False The point (1, 2) is on the line 2x + y = 4.

A: Consider the given equation and point. 2x + y = 4 and (1,2) If the given point lie on the equation…

Q: What is the equation of the line passing through the point (-2,5) that is perpendicular to the line…

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Q: How close does the line y = 5+ 9x come to origin?

A: Let the point (x,y) is closest to (0,0) the distance between (x,y) and (0,0) is…

Q: Find the point on the line 4x + y = 7 that is closest to the point  (−4, 2).

A: Let P(x,y) be the point on 4x+y=7 y=7-4x Distance   D2=x+42+y-22Z=x+42+7-4x-22Z=x+42+5-4x2

Q: What is the equation of a line that is perpendicular to y = 3x-2 and passes through the point (6,…

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Q: Find the point on the line 4x + y = 6 that is closest to the point (-4, 3). (х, у) %3D

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

Q: What is the equation in slope-intercept form of a line that is parallel to y =-3z + 1 and passes…

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Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: In Exercises 25–27, use the given conditions to write an equation for each line in point-slope form…

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

Q: What is an equation of the line that passes through the points (−6,−5) and (−2,3)? Put your answer…

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Q: Find the equation of a line perpendicular to −4x+y=−5 that contains the point (−5,1).

A: We have to find the line perpendicular to y=4x-5 and passing through (-5,1)

Q: Write an equation of the line, in form Ax + By = C, that is: a. Parallel to the line 2y - 6x =9, and…

A: we have to write an equation of the line in form, Ax +By=C        → 1a. Given line2y- 6x = 9⇒ 2y =6x…

Q: Defermine the equation of the line in standard form passing through the point (-2, 1) and paralel to…

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Q: What is the equation of the line that is parallel to y=-3z+12, passing through (4, 2), written in…

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Q: 9. Write an equation parallel to y = 2x + 4 that passes through the point (-4, -1).

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

Q: Which equation is perpendicular to the line 3x+y =10 and passes through the point (6,5)

A: The given equation is 3x +y =10 Or y = - 3x +10 Compare with    y = mx +c Where m = slope = - 3

Q: What is an equation of the line that passes through the points (−3,3)and (−6,2)? Put your answer in…

A: Explanation of the answer is as follows

Q: The equation of the line with slope – 2 that goes through the point ( – 8, – 7) can be written in…

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Q: Write the equation of the line that passes through the points (4,7) and (10,10). Express your answer…

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Q: 11) Determine the equation of the line parallel to y - 57 = -4(x + 58) that contains the point (95,…

A: Question number 11,Given,        The equation of the line parallel to y-57=-4x+58 that contains the…

Q: What is an equation of the line that passes through the point (4, –3) and is perpendicular to the…

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Q: 10. Write the equation that describes the line in slope-intercept form. slope 4, point (3,-2) is on…

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Q: What is the equation of the line perpendicular to the y = -1/2x + 5 that passes through the point…

A: An equation of a straight line is an equation of the form ax+by=c. An equation of a line can be…

Q: Explain how to derive the slope-intercept form of a line’s equation, y = mx + b, from the…

A: for converting point-slope form of line in slope-intercept form of line, we simplify point-slope…

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: What is an equation of the line that passes through the points (3,4) and (1,−2)? Put your answer in…

A: We know that the equation of line passing through the point (x1,y1) and x2,y2 is given by…

Q: 1. What is the equation of a line that passes through the point (-2, 10) and is parallel to the line…

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Q: What is an equation of the line that passes through the points (6, 1) and (7, 2)? Put your answer in…

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Q: What is an equation of the line that passes through the point (2, –3) and is perpendicular to the…

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Q: What is an equation of the line that passes through the points (−4,−1) and (3,−8)? Put your answer…

A: The equation of line passing through two points is given by- x-x1x2-x1=y-y1y2-y1 Here,…

Q: Write an equation for a line parallel to y = 5z -1 and passing through the point (4,22) %3D

A: To write the parallel line to the given line.

Q: Find the equation of the line with slope 5 which goes through the point (8,5). Give your answer in…

A: To find the equation of line

Q: Which is an equation with a degree of 4, zeros located at (4,0) and (3,0) and a y-intercept located…

A: Given that zeros are located at (4,0) and (3,0). So corresponding factors are (x-4) and (x-3)…

Q: What is the equation in slope-intercept form of the line that passes through the point (5,0) and is…

A: The standard form of the equation of the line slope-intercept form is; y=mx+c Where; ''m'' is the…

Q: The point (2, 0) is on the curve y = 2x − x 2. What information do you need in order to determine…

A: The general form of line equation is ax+by+c=0 . If we have a slope  m  of the line and a point…

Q: What is an equation of the line that passes through the points (8,2)and (−4,5)? Put your answer in…

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Q: Which is an equation with a degree of 4, zeros located at (−2,0), (−3,0) and (3,0) and a y-intercept…

A: Given zeroes (−2,0), (−3,0) and (3,0) assume another zero is ( a , 0 ) for degree 4 polynomial can…

Q: What point on the line 3x -y = 4 is the closest to the point A( -2, 3) ?

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Q: What is an equation of the line that passes through the point (1, – 7) and is parallel to the line…

A: Equation of line parallel to the given line can be taken as 3x+y=k

Q: What is the equation of the line that is perpendicular to 2z+ 4g=1and that passes through the point…

A: Given: Let L1: 2x+4y=1 be the given line. And x1, y1=(6, 8) be the given point. Let L2 be the…

Q: What is an equation of the line that passes through the point (–1,5) and is parallel to the line x –…

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Q: 2. Write the equation of a line perpendicular to y = -x+4 and that passes through point (-5,-4) in…

A: Explanation: Given that: y=-59x+4 Concept: 1. Standard equation of line y=mx+c where m is slope c is…

Q: tion represents a line which is parallel to the line 2x + y

A: The given line is  2x+y=-8y=-2x-8 comparing with y=mx + c, therefore the slope is -2

Q: What is an equation of the line that passes through the points (4,−7)and (2,−1)? Put your answer in…

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Q: In Exercises 19–22, find the slope of the curve at the point indicated.    19. y = 5x - 3x2, x = 1…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in…

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Q: What is an equation of the line that passes through the points (−6,−4) and (−4,0)? Put your answer…

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

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