Answer:
y = 6x + 25
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 ) = (- 4, 1) and (x₂, y₂ ) = (- 5, - 5)
m = [tex]\frac{-5-1}{-5+4}[/tex] = [tex]\frac{-6}{-1}[/tex] = 6, thus
y = 6x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 4, 1), then
1 = - 24 + c ⇒ c = 1 + 24 = 25
y = 6x + 25 ← equation of line
