Answer:
y = - 2x + 6
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 ) = (- 8, 22) and (x₂, y₂ ) = (3, 0)
m = [tex]\frac{0-22}{3+8}[/tex] = [tex]\frac{-22}{11}[/tex] = - 2, thus
y = - 2x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (3, 0), then
0 = - 6 + c ⇒ c = 0 + 6 = 6
y = - 2x + 6 ← equation of line
