Answer:
y + 9 = - 2(x - 9)
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 ) = (9, - 9) and (x₂, y₂ ) = (- 2, 13)
m = [tex]\frac{13+9}{-2-9}[/tex] = [tex]\frac{22}{-11}[/tex] = - 2
Using (a, b ) = (9, - 9 ) , then
y - (- 9) = - 2(x - 9) , that is
y + 9 = - 2(x - 9)
