Question

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

Answer 1

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.