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

1 Answer
Sep 2, 2016

Answer:

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#