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What would the missing value be?

What Would The Missing Value Be class=

Sagot :

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

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

m = [tex]\frac{-5-6}{x-2}[/tex] = [tex]\frac{-11}{x-2}[/tex] , then

[tex]\frac{-11}{x-2}[/tex] = - [tex]\frac{11}{7}[/tex] ← numerators are equal, so equate the denominators

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

x = 9