Answer:
y - 27 = 8(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 27) and (x₂, y₂ ) = (- 8, - 61)
m = [tex]\frac{-61-27}{-8-3}[/tex] = [tex]\frac{-88}{-11}[/tex] = 8
Using m = 8 and (a, b) = (3, 27) , then
y - 27 = 8(x - 3) ← equation in point- slope form
