What is the slope of a line parallel to y=3x+5?

1 Answer
Christopher P.
Sep 17, 2014

A line parallel to this one would have a slope of 3.

Explanation:

When trying to figure out the slope of a line it's a good idea to put the equation into "slope-intercept" form, which:

y=mx+b
where m is the slope and b is the y intercept.

In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3.

Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.

In the graph below, the red line is y=3x+5 and the blue line is y=3x−2. As you can see, they are parallel and will never intersect.

![desmos.com](useruploads.socratic.org)

Related questions
See all questions in Linear Functions and Graphs
Impact of this question
35284 views around the world
You can reuse this answer
Creative Commons License