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

1 Answer
Sep 17, 2014

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


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

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.