Which axis is the straight line 𝑦
equals three parallel to?
First, we know that parallel lines
do not intersect and they have the same slope. We have the equation 𝑦 equals
three. If we think about the general form
for a straight line 𝑦 equals 𝑚𝑥 plus 𝑏 and we have 𝑦 equals three, which means
that we have a slope of zero. From there, if we sketch a 𝑦- and
𝑥-axis, graphing the line 𝑦 equals three would look like this. We should notice here that the line
𝑦 equals three crosses the 𝑦-axis. And we know that’s true because it
has a 𝑏-value of three. And in the general form, the 𝑏
represents the 𝑦-intercept.
We can, therefore, say that the
straight line 𝑦 equals three is not parallel to the 𝑦-axis because it intersects
the 𝑦-axis. But we can say that 𝑦 equals three
is parallel to the 𝑥-axis. The 𝑥-axis is the line where 𝑦
equals zero. The straight line 𝑦 equals three
is parallel to the 𝑥-axis.