Answer:
f(x) = x + 5
Explanation:
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 =

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m =
=
=
= 1
the line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = x + 5 , or
f(x) = x + 5