Answer:
h = 4
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = M (h, 3 ) and (x₂, y₂ ) = N (- 2, - 9 )
m = [tex]\frac{-9-3}{-2-h}[/tex] = [tex]\frac{-12}{-2-h}[/tex] , then
[tex]\frac{-12}{-2-h}[/tex] = 2 ( multiply both sides by - 2 - h )
2(- 2 - h) = - 12 ( divide both sides by 2 )
- 2 - h = - 6 ( add 2 to both sides )
- h = - 4 ( multiply both sides by - 1 )
h = 4
