Question

What would the missing value be?

Answer 1

x = 9

Explanation:

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

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

m =
`(-5-6)/(x-2)` =
`(-11)/(x-2)` , then

`(-11)/(x-2)` = -
`(11)/(7)` ← numerators are equal, so equate the denominators

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

x = 9