Question

Use slope to determine if lines AB and CD are parallel, perpendicular, or neither. 2. A(0,2), B(5, 4), C(1.8).D(3,3)m(TABm(CD)Types of Lines

Answer 1

A (0,2) B (5,4)

C(1,8) D( 3,3)

Apply the slope formula:

$m=\frac{y2-y1}{x2-x1}$

For AB

$m=\frac{4-2}{5-0}=\frac{2}{5}$

For CD

$m=\frac{3-8}{3-1}=-\frac{5}{2}$

So both slopes are negative reciprocals of each other.

They are perpendicular lines.