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 )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 4 ) and (x₂, y₂ ) = (0, 22 )
m = [tex]\frac{22-4}{0-(-8)}[/tex] = [tex]\frac{18}{0+8}[/tex] = [tex]\frac{18}{8}[/tex] = [tex]\frac{9}{4}[/tex]
the line crosses the y- axis at (0, 22 ) ⇒ c = 22
y = [tex]\frac{9}{4}[/tex] x + 22 ← equation of line
