# What is the x and y intercept of #x-y=5#?

##### 1 Answer

Intercepts are the points where the graph crosses the coordinate axes.

Notice how at the Y Intercept the value of the x-coordinate is 0, and at the X Intercept, the value of the y-coordinate is 0. We can use this principle to find the x and y intercepts!

**1. To find x intercept**

Substitute

Therefore, x intercept

**2. To find y intercept**

Substitute

Therefore, y intercept

Another way to do this in to remember the intercept form of an equation of a line, i.e.,

where

Given equation:

To make the RHS = 1, we'll divide throughout by 5, getting:

Notice how this looks like the intercept form of an equation of a line.

Comparing the two equations, we can conclude