# How do you find the x and y intercepts for x= -3?

Mar 9, 2018

x-intercept at $\left(x , y\right) = \left(- 3 , 0\right)$
There is no y-intercept.

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$ (or sometimes specified as the solution to the equation with coordinates $\left(x , 0\right)$)
Since $x = - 3$ for all values of $y$
it follows that $x = - 3$ when $y = 0$

The y-intercept is the value of $y$ when $x = 0$ (or alternately the solution point of the form $\left(0 , y\right)$)
Since $x \ne 0$ not matter what value is assigned to $y$, no such point exists (graphically $x = - 3$ is a vertical line parallel to, and therefore never intersecting, the Y-axis).