Question

The line L1 is defined Ax + By = 3. The line L2 is defined by the equation Ax + By = 2. The line

L3 is defined by Bx − Ay = 1. Determine whether L1, L2 and L3 are parallel or perpendicular to each other.

Answer 1

Explanation:

Line 1: Ax+By=3

By=-Ax+3

-> slope is -A/B

Line 2: Ax+By=2

By=-Ax+2

-> slope is -A/B

Line 3: Bx-Ay=1

Ay=Bx-1

-> slope is B/A

So lines 1,2 are parallel, and lines 1,3 and 2,3 are perpendicular