How do you find the slope & y-intercept of the equation #x = –9#?

1 Answer
Apr 14, 2018

Answer:

The slope is undefined.
There is no #y-#intercept.

Explanation:

The equation of a straight line in slope (#m#) and #y-#intercept (#c#) form is : #y=mx +c#

In this case: #x=-9# is a vertical straight line through the point #(-9,0)# parallel to the #y-#axis.

By definition, the slope of a vertical line is undefined. Also, since it will never intersect the #y-#axis there is no #y-#intercept.

We can see this from the graph of #x=-9# below.

graph{0.0001y + x=-9 [-16.02, 16.02, -8.02, 8]}