Question

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

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

Explanation:

Step1: Recall parallel line slope rule

Parallel lines have equal slopes.

Step2: Identify slope for 1)

Given $y=2x+3$, slope $m=2$.

Step3: Identify slope for 2)

Given $y=\frac{5}{3}x-1$, slope $m=\frac{5}{3}$.

Step4: Identify slope for 3)

Given $y=-\frac{1}{3}x-5$, slope $m=-\frac{1}{3}$.

Step5: Identify slope for 4)

Given $y=-x+3$, slope $m=-1$.

Answer:

1. $2$
2. $\frac{5}{3}$
3. $-\frac{1}{3}$
4. $-1$