Question

If a line with slope = 2 passes through the points (4,-8) and (x,2), find x

Answer 1

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula then equate to 2

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 8) and (x₂, y₂ ) = (x, 2 )

m = $\frac{2+8}{x-4}$ = $\frac{10}{x-4}$ = 2 ( multiply both sides by x - 4 )

2(x - 4) = 10 ( divide both sides by 2 )

x - 4 = 5 ( add 4 to both sides )

x = 9