ANSWER
[tex]y = \frac{3}{4}x + 15[/tex]
EXPLANATION
The given line passes through the point
(-8,9) and has a slope be of
[tex]m = \frac{3}{4} [/tex]
We obtain the equation of this line using
[tex]y-y_1=m(x-x_1)[/tex]
We plug in the values into the formula to get,
[tex]y - 9 = \frac{3}{4} (x - - 8)[/tex]
[tex]y = \frac{3}{4} (x + 8) + 9[/tex]
Expand the parenthesis to get:
[tex]y = \frac{3}{4}x + 6 + 9[/tex]
[tex]y = \frac{3}{4}x + 15[/tex]
