Answer:
C
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 )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line
m = [tex]\frac{-1+2}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]
note that the line crosses the y-axis at (0, - 2) ⇒ c = - 2
y = [tex]\frac{1}{4}[/tex] x - 2 ← equation of line
