Q. 173.9( 7 Votes )
The line through the points (– 2, 6) and 94, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x.
Answer :
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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