Answer:
x₂ = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)
m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is
[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
5(x₂ - 9) = - 60 ( divide both sides by 5 )
x₂ - 9 = - 12 ( add 9 to both sides )
x₂ = - 3
