How do you find the x intercept for the line #5x-3y=4#?

1 Answer
Nov 4, 2016

#(4/5,0)#

Explanation:

The x-intercept is the point where the graph crosses the x-axis. Take note that at the x-axis, the value of #y# is 0.

So, to find the x-intercept, we will simply set #y# to #0#, then solve for the value of #x#.

#[1]" "5x-3y=4#

Let #y=0#.

#[2]" "5x-3(0)=4#

#[3]" "5x=4#

#[4]" "x=4/5#

So now we know that the value of #x# when the graph crosses the x-axis is #4/5#.

The x-intercept would then be the point #(4/5,0)#