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

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Answer 1 · 2016-11-04T16:56:15

#(4/5,0)#

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)#