Respuesta :
Slope formula(m):
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To find y, plug in what you know:
m = -2
(x₁, y₁) = (2, 3)
(x₂, y₂) = (5, y)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]-2=\frac{y-3}{5-2}[/tex] Now isolate/get y by itself in the equation
[tex]-2=\frac{y-3}{3}[/tex] Multiply 3 on both sides
[tex]-2(3)=\frac{y-3}{3}(3)[/tex]
-6 = y - 3 Add 3 on both sides
-3 = y
PROOF
[tex]-2=\frac{-3-3}{5-2}[/tex]
[tex]-2=\frac{-6}{3}[/tex]
-2 = -2
