Answer:
3y - 16x = -40
Explanation:
Given the coordinate points (4,8) and (1, -8).
The point slope form of the equaton is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Get the slope
m = -8-8/1-4
m = -16/-3
m = 16/3
Get the required equation using the point (1, -8)
y - (-8) = 16/3 (x-1)
y+8 = 16/3 (x-1)
3(y+8) = 16(x-1)
3y + 24 = 16x - 16
3y - 16x = -16 - 24
3y - 16x = -40
Hence the required equation is 3y - 16x = -40