Answer:
5x+2y = -24
Explanation:
We have the point (-4,-2) and a slope of -5/2.
Using the point-slope form of a line:
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line.
y- -2 = -5/2(x- -4)
y+2 = -5/2 (x+4)
Multiply each side by 2.
2(y+2) = -5(x+4)
2y+4 = -5x-20
Add 5x to each side.
5x+2y +4 = -20
Subtract 4 from each side.
5x+2y = -24