Answer:
y = 5x - 8
Explanation:
The linear equation in slope intercept form :
y = mx + c
m = slope ; c = intercept
m = Rise / Run = (y2 - y1) / (x2 - x 1)
Rise = (y2 - y1) = (12 - (-8)) = (12 + 8) = 20
Run = (x2 - x1) = (4 - 0) = 4
Slope, m = Rise / Run = 20 /4 = 5
Hence,
y = 5x + c
For the points ; y = 12 ; x = 4 ; we could obtain c
12 = 5(4) + c
12 = 20 + c
12 - 20 = c
-8 = c
The equation becomes :
y = 5x - 8