Question

Find x, if the slope of the line joining (x, 2) and (8, −11) is `−3/4`.

Answer 1

Let A = (x, 2) and B = (8, −11)

Slope of AB = `(-11 - 2)/(8 - x)`

`(-11 - 2)/(8 - x) = -3/4`   ...(Given)

`(-13)/(8 - x) = 3/4`

52 = 24 − 3x

3x = 24 − 52

3x = −28

`x=(-28)/3`