# How do you graph x+y>2 on the coordinate plane?

Aug 11, 2017

graph{y > -x + 2 [-10, 10, -5, 5]}

#### Explanation:

$x + y > 2$
$y > - x + 2$

let $x = 0$ for $y$-intercept.

$y = - \left(0\right) + 2$
$y = 2$

let $y = 0$ for $x$-intercept.

$0 = - x + 2$
$x = 2$

Plot these points on the Cartesian plane and connect the two dots with straight line. Since the y value is greater than $- x + 2$ in the form $y = m x + b$, the line should be dotted and you should shade the region above the line.

graph{y > -x + 2 [-10, 10, -5, 5]}