Answer:
The answer is
[tex] \huge y = - \frac{1}{4} x - 6[/tex]
Step-by-step explanation:
To find an equation of a line 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 , - 8) and slope -1/4
We have
[tex]y + 8 = - \frac{1}{4} (x - 8) \\ y + 8 = - \frac{1}{4} x + 2 \\ y = - \frac{1}{4} x + 2 - 8[/tex]
We have the final answer as
[tex]y = - \frac{1}{4} x - 6 \\ [/tex]
Hope this helps you
