Question

lesson 3.3 practice
name
use slope to determine if lines pq and rs are parallel, perpendicular, or neither.

1. p(-9,-4), q(-7,-1), r(-2,5), s(-6,-1)

slope of (overline{pq})
slope of (overline{rs})
types of lines

Explanation:

Step1: Calculate slope of $\overline{PQ}$

Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
For $P(-9,-4), Q(-7,-1)$:
$m_{PQ} = \frac{-1 - (-4)}{-7 - (-9)} = \frac{3}{2}$

Step2: Calculate slope of $\overline{RS}$

For $R(-2,5), S(-6,-1)$:
$m_{RS} = \frac{-1 - 5}{-6 - (-2)} = \frac{-6}{-4} = \frac{3}{2}$

Step3: Classify line relationship

Parallel lines have equal slopes.
$m_{PQ} = m_{RS} = \frac{3}{2}$

Answer:

Slope of $\overline{PQ}$	Slope of $\overline{RS}$	Types of Lines