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

2 Answers
Jun 8, 2017

This is an equation for a vertical line where for each and every value of #y#, #x# is equal to #-2/5#.

By definition the slope of a vertical line is undefined.

Also, because #x# is always #-2/5# for every value of #y#, #x# is never equal to #0# therefore there is no #y# intercept.

Jun 8, 2017

Answer:

Undefined slope; #x#-intercept: #(-2/5,0)#

Explanation:

The line #x=# indicates that the line is vertical crossing through the #x#-axis. The slope of a vertical line is always undefined because if you did try to find the slope of this line via the slope formula, you would find that the denominator would be #0# so it's undefined. Additionally, since the line is vertical, it only crosses the #x#-axis and not the #y# so the #x#-intercept is the line #x=-2/5#