Answer :

Answer:

y = - 5

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 1

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (2, y)

m = [tex]\frac{y-1}{2+4}[/tex] = [tex]\frac{y-1}{6}[/tex] = - 1

Multiply both sides by 6

y - 1 = - 6 ( add 1 to both sides )

y = - 5

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