# How do you find the x and y intercept given y = -x + 2/3?

Mar 4, 2018

For this question you will need to identify this as a linear equation, which will help you solve for the answer.

#### Explanation:

Currently, the equation is in the form y = mx + c, where 'm' represents the slope of the linear line and 'c' represents the y-intercept.

The slope of this equation is -1, and the y-int is $\frac{2}{3}$. Lucky for you, you now easily have the y-intercept.
To find the x-intercept is a little trickier, but not by much. You will have to let 'y' equal to 0, and solve for 'x' by using algebra. Here's my work below:

$y = - x + \frac{2}{3}$
$0 = - x + \frac{2}{3}$
$x = \frac{2}{3}$

So the x-int is $\frac{2}{3}$, and the y-int is also $\frac{2}{3}$