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

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Answer 1 · 2014-09-17T15:05:22

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.

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