Answer:
f(x) = [tex]\frac{4}{5}[/tex]x - 5
Step-by-step explanation:
f(5) = -1 and f(0) = -5 mean that f has points at (5, -1) and (0, -5).
You can find the slope using the two points:
slope = [tex]\frac{-1 - (-5)}{5 - 0}[/tex] = [tex]\frac{4}{5}[/tex]
Then use point-slope form to make equation:
y - (-5) = [tex]\frac{4}{5}[/tex](x - 0)
y + 5 = [tex]\frac{4}{5}[/tex]x
y = [tex]\frac{4}{5}[/tex]x - 5
