Answer:
The answer is
[tex] \huge y = - \frac{5}{4} x - 3[/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 (-4,2) and slope of -5/4
We have
[tex]y - 2 = - \frac{5}{4} (x + 4) \\ y - 2 = - \frac{5}{4} x - 5 \\ y = - \frac{5}{4} x - 5 + 2[/tex]
We have the final answer as
[tex]y = - \frac{5}{4} x - 3 \\ [/tex]
Hope this helps you
