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