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

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

unklerhaukus · Answer

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