Question

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

Answer 1

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.