Show that the line joining (2, – 3) and (– 5, 1) is parallel to the line joining (7, – 1) and (0, 3).

Question

Philoid · Accepted Answer

To Prove: The given line is parallel to another line.

Proof: Let Assume the coordinate A(2, – 3) and B(– 5, 1), C(7, – 1) and D(0,3).

The concept used: Slopes of the parallel lines are equal.

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, The slope of AB = The slope of CD

Hence, The given Lines are parallel to each other.