# Video: Determining the Axis That Is Parallel to the Given Equation of a Straight Line

Which axis is the straight line π¦ = 3 parallel to?

01:06

### Video Transcript

Which axis is the straight line π¦ equals three parallel to?

First, we know that parallel lines do not intersect and they have the same slope. We have the equation π¦ equals three. If we think about the general form for a straight line π¦ equals ππ₯ plus π and we have π¦ equals three, which means that we have a slope of zero. From there, if we sketch a π¦- and π₯-axis, graphing the line π¦ equals three would look like this. We should notice here that the line π¦ equals three crosses the π¦-axis. And we know thatβs true because it has a π-value of three. And in the general form, the π represents the π¦-intercept.

We can, therefore, say that the straight line π¦ equals three is not parallel to the π¦-axis because it intersects the π¦-axis. But we can say that π¦ equals three is parallel to the π₯-axis. The π₯-axis is the line where π¦ equals zero. The straight line π¦ equals three is parallel to the π₯-axis.