# The line</s

To Find: Find the value of x ?

The concept used: If two line is perpendicular then, the product of their slopes is – 1.

Explanation: We have two lines having point A(– 2,6) and B(4,8) and other line having points C(8,12) and D(x,24).

The formula used: The slope of the line, m = Now, The slope of Line AB is, mAB = mAB = and, The slope of Line CD is, mCD = mCD = We know the product of the slopes of perpendicular line is always – 1. Then,

mAB × mCD = – 1 = – 1 x – 8 = – 4

x = – 4 + 8

x = 4

Hence, The value of x is 4.

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