Answer:
y = ([tex]-\frac{1}{2}[/tex])x + 4
Step-by-step explanation:
(x1,y1) = (0,4) ; (x2,y2) = (8,0)
The equation will look like y=mx+b
Slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]
Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.
y=mx+b
0 = ([tex]-\frac{1}{2}[/tex])8 + b
0 = -4 +b
0+4 = -4 +4 +b
b=4
Then substitute b and m to the equation y=mx+b
y = mx + b
y = ([tex]-\frac{1}{2}[/tex])x + 4
