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, - 2 ) and (x₂, y₂ ) = (- 1, 6 )
m = [tex]\frac{6-(-2)}{-1-1}[/tex] = [tex]\frac{6+2}{-2}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 6 ) , then
6 = 4 + c ⇒ c = 6 - 4 = 2
y = - 4x + 2 → D
