Question

parallel and perpendicular lines
find the slope of a line parallel to each given line.

1. $y=2x+3$
2. $y=\frac{-1}{3}x-5$

Explanation:

Step1: Recall parallel line slope rule

Parallel lines have equal slopes.

Step2: Identify slope of line 1

The line $y=2x+3$ uses slope-intercept form $y=mx+b$, where $m$ is slope. Here $m=2$.

Step3: Identify slope of line 3

The line $y=-\frac{1}{3}x-5$ uses slope-intercept form. Here $m=-\frac{1}{3}$.

Answer:

1. Slope of parallel line: $2$
2. Slope of parallel line: $-\frac{1}{3}$