Answer:
5x-4y = -32
Explanation:
We can first get an equation in point slope form since we have a point and a slope
y-y1 = m ( x-x1) where m is the slope and (x1,y1) is a point on the line
y- -2 = 5/4(x- - 8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to get rid of fractions
4(y+2) = 5/4 *4 (x+8)
4(y+2) = 5(x+8)
Distribute
4y+8=5x+40
Subtracy 4y from each side
8 = 5x-4y+40
Subtract 40 from each side
8-40 = 5x-4y
-32 = 5x-4y
5x-4y = -32