Question

F(0) = -5, f(4) = -3

Answer 1

Answer:

y = $\frac{1}{2}$ x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = $\frac{-3+5}{4-0}$ = $\frac{2}{4}$ = $\frac{1}{2}$

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = $\frac{1}{2}$ x - 5 ← equation of line