Answer:
y = - 5x + 8
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 ) = (- 7,43) and (x₂, y₂ ) = (4, - 12)
m = [tex]\frac{-12-43}{4+7}[/tex] = [tex]\frac{-55}{11}[/tex] = - 5, thus
y = - 5x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, - 12), then
- 12 = - 20 + c ⇒ c = - 12 + 20 = 8
y = - 5x + 8 ← equation of line
