Answer:
A
Step-by-step 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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 20) and (x₂, y₂ ) = (4, 10) ← 2 points on the line
m = [tex]\frac{10+20}{4-0}[/tex] = [tex]\frac{30}{4}[/tex] = [tex]\frac{15}{2}[/tex]
Note the line crosses the vertical axis at (0, - 20) ⇒ c = - 20, thus
f(x) = [tex]\frac{15}{2}[/tex] x - 20 → A
