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.

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