Question

What would the missing value be?

Answer 1

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )

m = $\frac{-5-6}{x-2}$ = $\frac{-11}{x-2}$ , then

$\frac{-11}{x-2}$ = - $\frac{11}{7}$ ← numerators are equal, so equate the denominators

x - 2 = 7 ( add 2 to both sides )

x = 9