Question

Find the equation of the line with slope m=−3/4 that contains the point (8,−9).

Answer 1

the answer is y=-3/4x-3

Answer 2

The answer is

`y = - (3)/(4) x - 3 \\`

Explanation:

To find an equation of a line when given the slope and a point we use the formula

`y - y_1 = m(x - x_1)`

where

m is the slope

( x1 , y1) is the point

From the question the point is (8,−9) and slope -¾

The equation of the line is

`y + 9 = - (3)/(4) (x - 8) \\ y + 9 = - (3)/(4) x + 6 \\ y = - (3)/(4) x + 6 - 9`

We have the final answer as

`y = - (3)/(4) x - 3 \\`

Hope this helps you