Question

which of the following equations is parallel to y=5x-3?
○ y=8x+5
○ y=5x+8
○ y=-5x+8
○ y=(1)/(5)x+8

Explanation:

Step1: Recall parallel line rule

Parallel lines have equal slopes.

Step2: Identify slope of given line

The line $y=5x-3$ is in slope-intercept form $y=mx+b$, where $m$ is slope. So slope $m=5$.

Step3: Match slope to options

Find the option with slope $m=5$. The equation $y=5x+8$ has slope $5$.

Answer:

y=5x+8