Question

Any line with a slope of zero is parallel to the

Answer 1

Answer:

x-axis

Step-by-step explanation:

a line in the cartesian plane is defined by the general equation:

$y=mx+b$

where $m$ is the slope and $b$ is the y-intercept, so for a given $x$ value this return a value for $y$.

When the slope of a line is equal to zero ($m=0$) we have:

$y=b$  ($y$ has always the same constant value)

which means that the value of $y$ for any given $x$ is the same, we have a constant function, that is represented in the plane as a horizontal line.

So when the slope is zero the line is a horizontal line, which is parallel to the x-axis since the x-axis is also a horizontal line.

Answer 2

Answer:

x-axis

Step-by-step explanation:

A slope of zero means a line is a horizontal line.  This would be parallel to the x-axis, since it runs horizontally.