Question

(-8,9);slope=-3/2 write the equation of the line

Answer 1

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Equation of the line using point ( -8,9) and slope - 3/2 is

`y - 9 = - (3)/(2) (x + 8) \\ \\ y - 9 = - (3)/(2) x - 12 \\ \\ y = - (3)/(2) x - 12 + 9 \\ \\ y = - (3)/(2) x - 3`

Hope this helps you

Answer 2

y = -3/2x-3

Explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -3/2x +b

Substitute the point into the equation

9 = -3/2 (-8) +b

9 = 12 +b

Subtract 12 from each side

9-12 =12-12+b

-3 =b

y = -3/2x-3