Question

Write an equation of the line (-8, -5) (-3, 10)

Answer 1

y = 3x + 19

Explanation:

1) Compute the slope (Slope =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`)

m =
`(10 - (-5))/(-3-(-8))`

2) Refine

m = 3

3) Plug the slope (3) into y = mx + b

y = 3x + b

4) Plug in (-8,-5), x = -8, y = -5

-5 = 3(-8) + b

5) Isolate b

b = 19

6) Construct the line equation y = mx + b

y = 3x + 19