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

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

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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##

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