Answer:
y - 5 = 3(x + 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 8, - 1) and (x₂, y₂ ) = (- 6, 5)
m = [tex]\frac{5+1}{-6+8}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Use either of the points as (a, b)
Using (- 6, 5), then
y - 5 = 3(x - (- 6)), that is
y - 5 = 3(x + 6)
