Question 513308
The {{{x-intercept}}} of a line is the point at which the line
crosses the {{{x}}}{{{ axis}}}, where the {{{y}}} value equals {{{0}}}.



{{{x-intercept }}}= ( {{{x}}},{{{ 0}}} )

The y-intercept of a line is the point at which the line
crosses the {{{y}}}{{{ axis}}}, where the {{{x}}} value equals {{{0 }}}.

{{{y-intercept}}} = ( {{{0}}}, {{{y}}} )

you have:

{{{x-4y=4}}}

so, to find {{{x-intercept }}}= ( {{{x}}},{{{ 0}}} ), set {{{y=0}}}

{{{x-4*0=4}}}

{{{x-0=4}}}

{{{x=4}}}.......->....{{{x-intercept }}}= ( {{{4}}},{{{ 0}}} )


 to find {{{y-intercept }}}= ( {{{0}}},{{{ y}}} ), set {{{x=0}}}

{{{x-4y=4}}}

{{{0-4y=4}}}

{{{-4y=4}}}

{{{y=4/-4}}}

{{{y=-1}}}..........->....{{{y-intercept }}}= ( {{{0}}},{{{ -1}}} )

let's see it on a graph:

{{{y=(1/4)x-1}}}...your function in slope-intercept form

{{{ graph( 500, 500, -10, 10, -10, 10,(1/4)x-1) }}}