Question 396207

The {{{x-intercept}}} of a line is the {{{point}}} at which the line {{{crosses }}}the {{{x-axis}}}.

    The {{{y-coordinate}}} of the point where a line intersects the x-axis is {{{0}}}.

    So, the {{{x-intercept}}} of a line can also be found by substituting {{{y = 0 }}}in the equation of the line.

so, in your case it will be:

{{{2x+4y=8}}}.....substitute {{{y = 0 }}}

{{{2x+4*0=8}}}

{{{2x =8}}}

{{{x =8/2}}}

{{{x = 4}}}........answer:{{{x-intercept}}} is at (4,0)

your equation in slope-intercept form

{{{y=(-1/2)x+2}}}

and here is a graph

{{{ graph( 500, 500, -10, 10, -10, 10, (-1/2)x+2) }}}