Answer:
The answer is
[tex]y = \frac{5}{4} x + 19 \\ [/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 5/4
The equation of the line is
[tex]y - 9 = \frac{5}{4} (x + 8) \\ y - 9 = \frac{5}{4} x + 10 \\ y = \frac{5}{4} x + 10 + 9[/tex]
We have the final answer as
[tex]y = \frac{5}{4} x + 19 \\ [/tex]
Hope this helps you
