Question

Determine whether the lines through the pairs of points are parallel, perpendicular, or neither.

3x - 2y = -5
2x + 3y = -15
Choose one answer.
a. parallel
b. neither
c. perpendicular

Answer 1

3x - 2y = -5
\[\rightarrow y=(3/2)x +5/2\]
2x + 3y = -15
\[\rightarrow y=(-2/3)x-5\]

the gradients are \[m_1={-1 \over m_2}\]
which means they lines are perpendicular