How do you find the slope and intercept of #5x-2=0#?

1 Answer
Dec 27, 2015

Answer:

The slope of #(5x-2=0)# is undefined.
It has an x-intercept at #x=2/5#.
It does not have a y-intercept.

Explanation:

#5x-2=0# is the equation of a vertical line.
It could also be written as #x=2/5#

Slope is defined as the change in #y# divided by a corresponding change in #x#
...but since #x# is a constant, the change in #x# is always #0#
so any attempt to calculate the slope results in an attempt to divide by #0#.

#5x-2=0# crosses the X-axis at #x=2/5# (the x-intercept)
but it does not cross the Y-axis (there is no y-intercept).