Answer:
D
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 ) = (- 1, 1) and (x₂, y₂ ) = (24, - 4) ← 2 points on the line
m = [tex]\frac{-4-1}{24+1}[/tex] = [tex]\frac{-5}{25}[/tex] = - [tex]\frac{1}{5}[/tex] , then
y = - [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
To find c substitute any of the 3 points into the partial equation
Using (4, 0 ) , then
0 = - [tex]\frac{4}{5}[/tex] + c ⇒ c = 0 + [tex]\frac{4}{5}[/tex] = [tex]\frac{4}{5}[/tex]
y = - [tex]\frac{1}{5}[/tex] x + [tex]\frac{4}{5}[/tex] → D
