Question

Write an equation for the line that is parallel to y=2x-3 and that goes through (-9,5)

Answer 1

y = 2x + 23

Explanation:

The first line is parallel to second line whose equation is y = 2x - 3

Since the slope of the second line is 2, the slope of the first line is also 2.

The first line passes through (-9,5)

Taking another point (x,y) on the first line;

Slope(m) = change in y ÷ change in x

2 =
`(y - 5)/(x - -9)`

2 =
`(y - 5)/(x + 9)`

Cross multiplying gives;

y - 5 = 2x + 18

y = 2x + 23