Question

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

Answer 1

x = 9

Explanation:

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

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

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

m =
`(2+8)/(x-4)` =
`(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