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

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 $\left(X , 0\right)$ for $x$ -axis and and $\left(0 , Y\right)$ for $y$ -axis.

This being said, to find the intercept from the equation of a line, we just need to put the value of one variable to $0$ to get the intercept for other variable

So in the equation above:
$4 x - 5 y = 20$
let $x = 0$ ;
we get $0 - 5 y = 20$ ;or
$y = - 4$
thus y-intercept is $- 4$

Similarly, let $y = 0$ ;
we get $4 x - 0 = 20$ ;or
$x = 5$
thus x-intercept is $5$