What is the slope of the line y = 2?

2 Answers
Jul 8, 2018

The slope of the line is 0.

Explanation:

Since the line is #y = 2#, that means it is a horizontal line. Slope is defined as #"rise"/"run"#. Since it is horizontal, there is no rise, only a run, which is a constant, #2#. Therefore, it is #0/2#, or #0#.

The slope of the line is 0.

Hope this helps!

Jul 8, 2018

Slope=#0#

Explanation:

#y=2# is a horizontal line, which has a slope of zero.

To make this more intuitive, slope is defined as change in #y# over change in #x#, and since we have an equation of the form

#y=c#

#x# is the only variable that is changing, as #y# is always equal to #2#. Since we have no change in #y#, we have no "rise", therefore the slope is zero.

graph{y=0x+2 [-11.16, 11.34, -6.435, 4.815]}

Hope this helps!