Question 472334
an x-intercept is a point on the graph where y is zero

{{{x-y=2k}}}......1

{{{y=4x-8}}}......2....if y is zero
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{{{x-0=2k}}}........1

{{{0=4x-8}}}........2....solve for {{{x}}}
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{{{8=4x}}}........2

{{{8/4=x}}}

{{{2=x}}}.....plug it in 1

{{{2-0=2k}}}........1....solve for {{{x}}}

{{{2=2k}}}

{{{highlight(1=k)}}}

so the line {{{x-y=2k}}} is {{{x-y=2*1}}} ...->.. {{{x-y=2}}} or in {{{slope-intercept}}}form {{{x-2=y}}}


let's see it on a graph:

{{{ graph( 500, 500, -10, 10, -10, 10, x-2, 4x-8) }}} 


from the graph you can see that both lines have sam {{{x-intercept}}} at point ({{{2}}},{{{0}}})