Answer:
The answer is
[tex]y = - \frac{3}{4} x - 3 \\ [/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
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
[tex]y + 9 = - \frac{3}{4} (x - 8) \\ y + 9 = - \frac{3}{4} x + 6 \\ y = - \frac{3}{4} x + 6 - 9[/tex]
We have the final answer as
[tex]y = - \frac{3}{4} x - 3 \\ [/tex]
Hope this helps you
