Answer:
5x+4y = 52
Explanation:
We can first write the equation in point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y - 8 = -5/4 ( x-4)
Multiply each side by 4 to get rid of the fraction
4(y - 8) = 4*(-5/4) ( x-4)
4(y - 8) = -5 ( x-4)
Distribute
4y - 32 = -5x+20
We want the equation in the form
Ax + By = C
Add 5x to each side
5x+4y -32 = -5x+5x+20
Add 32 to each side
5x+4y -32+32 =32+20
5x+4y = 52