Respuesta :
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.
Answer:
x-axis
Step-by-step explanation:
a line in the cartesian plane is defined by the general equation:
[tex]y=mx+b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, so for a given [tex]x[/tex] value this return a value for [tex]y[/tex].
When the slope of a line is equal to zero ([tex]m=0[/tex]) we have:
[tex]y=b[/tex] ([tex]y[/tex] has always the same constant value)
which means that the value of [tex]y[/tex] for any given [tex]x[/tex] 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.
