Answer:
y - 24 = - 7(x + 4)
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)
m = [tex]\frac{-53-24}{7+4}[/tex] = [tex]\frac{-77}{11}[/tex] = - 7
Using m = - 7 and (a, b) = (- 4, 24) , then
y - 24 = - 7(x - (- 4) ) , that is
y - 24 = - 7(x + 4) ← equation in point- slope form
