Question

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

Answer 1

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 `(X,0)` for `x` -axis and and `(0,Y)` 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:
`4x-5y=20`
let `x=0` ;
we get `0-5y=20` ;or
`y=-4`
thus y-intercept is `-4`

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