Question 925126
{{{ -4x+2y=6}}}

{{{ 2y=4x+6}}}

{{{ y=4x/2+6/2}}}

{{{ y=2x+3}}}

to find the x-intercept set {{{y=0}}}

{{{ 0=2x+3}}}

{{{ -3=2x}}}

{{{ -3/2=x}}}

the x-intercept is at ({{{-3/2}}},{{{0}}})


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

{{{ y=2x+3}}}

{{{y=2*0+3}}}

{{{ y=3}}}

the y-intercept is at ({{{0}}},{{{3}}})


then plot the two intercepts 

{{{drawing( 600, 600, -10, 10, -10, 10,circle(-3/2,0,.15),locate(-3/2,0,p(-3/2,0)),circle(0,3,.15),locate(0,3,p(0,3)), graph( 600, 600, -10, 10, -10, 10,0)) }}} 


now draw a line through:


{{{drawing( 600, 600, -10, 10, -10, 10,circle(-3/2,0,.15),locate(-3/2,0,p(-3/2,0)),circle(0,3,.15),locate(0,3,p(0,3)), graph( 600, 600, -10, 10, -10, 10,2x+3)) }}}