Question 1207227

given:

{{{3x-2y=6}}} which is an linear equation and the graph is a line

to graph it, all we need is two points that lie on line

easiest is to find {{{x}}} and {{{y }}}intercepts


{{{3x-2y=6}}} ...set {{{y=0}}} to find {{{x}}}-intercept

{{{3x-2*0=6}}}

{{{3x=6}}}

{{{x=2}}}

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



{{{3x-2y=6}}} ...set {{{x=0}}} to find {{{y}}}-intercept

{{{3*0-2y=6}}}

{{{-2y=6}}}

{{{y=-3}}}

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



plot these points and draw a line through


{{{ graph( 600, 600, -10, 10, -10, 10, 3x/2-3) }}}