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, m_AB =

m_AB =

and, The slope of Line CD is, m_CD =

m_CD =

We know the product of the slopes of perpendicular line is always – 1. Then,

m_AB × m_CD = – 1

= – 1

x – 8 = – 4

x = – 4 + 8

x = 4

Hence, The value of x is 4.