How do you find the slope and y-intercept for the line #y=-7#?

1 Answer
Sep 23, 2015

Answer:

For the equation #y=-7#
- the slope is #0#
- the y-intercept is #-7#

Explanation:

The slope is defined as the change in #y# for a corresponding change in #x#
Since the value of #y# does not change (i.e. its change is #0#) no matter by how much #x# changes,
the slope is #0#

The y-intercept is the value of #y# when #x=0#.
#y=-7# for all values of #x#
and therefore the y-intercept is #-7#

Note that the equation #y=-7# is a vertical line, 7 units below the X-axis.