How do you find the slope and intercept of #y - x > 2#?

1 Answer
turksvids
Dec 13, 2017

The slope is 1 and the #y#-intercept is #(0,2)#.

Explanation:

I like to start these problems by solving for #y# so that the slope and intercept are more obvious. The given inequality can be rewritten as:

#y>x+2#

This is in the form #y>m*x+b#. In this form #m# is the slope and #b# is the #y#-coordinate of the #y#-intercept. The actual #y#-intercept is the ordered pair #(0,b)#.

For this problem the slope is 1 and the #y#-intercept is #(0,2)#.

To graph you would use a dotted/dashed line and shade the half of the plane that does not contain the origin.

Related questions
See all questions in Linear Inequalities in Two Variables
Impact of this question
873 views around the world
You can reuse this answer
Creative Commons License