Answer:
x = 3
Step-by-step explanation:
calculate the slope using the slope formula and equate the result to - 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (x, 8)
m = [tex]\frac{8-4}{x-5}[/tex] = [tex]\frac{4}{x-5}[/tex] = - 2, thus
- 2(x - 5) = 4, that is
- 2x + 10 = 4 ( subtract 10 from both sides )
- 2x = - 6 ( divide both sides by - 2 )
x = 3
