Find a point on the line y = 2x − 3 that is 5 units from the x-axis

Question

Find a point on the line y = 2x − 3 that is 5 units from the x-axis

Answer 1

y= 2x -3 is a line 5 units from the x axis at points (4,5) and (-1, -5)

y intercept of the line is (0, -3), it's 3 units from the x axis, to get 5 units away, go right or left into quadrant I or III.

it may help to sketch a rough graph of the line

y = 2x -3

5=2x-3

2x =8

x =8/2 =4

(x,y) 5 units above the x axis is (4,5)

y=2x-3

-5=2x-3

2x =-2

x =-1

another point (x,y) 5 units below the x axis is (-1,-5)