# How do you find the x and y intercepts of #4x-5y=20#?

##### 1 Answer

Sep 2, 2016

*x-intercept* = **5**; *y-intercept* = **-4**

#### Explanation:

An intercept on an axis is the point where a curve crosses the axis and the distance from the origin is known as *intercept*

As mentioned it is on a axis, thus the coordinates of the intercept point will be

This being said, to find the intercept from the equation of a line, we just need to put the value of one variable to

So in the equation above:

let

we get

**thus y-intercept is #-4#**

Similarly, let

we get

**thus x-intercept is #5#**