Show that the line joining (2, – 5) and (– 2, 5) is perpendicular to the line joining (6, 3) and (1,1).

Question

Philoid · Accepted Answer

To Prove: The Given line is perpendicular to each other.

Proof: Let Assume the coordinate A(2, – 5) and B(– 2, 5) joining the line AB, C(6,3) and D(1,1) joining the line CD.

The concept used: The product of the slopes of lines always – 1.

The formula used: The slope of the line, m =

Now, The slope of AB =

The Slope of AB =

Now, The slope of CD =

The Slope of AB =

So, AB × CD =

AB × CD = – 1

Hence, The given Lines are perpendicular to each other.