Question 467707

{{{4x-6y=12}}}


Find the intercepts of the graph of the equation given

if {{{x=0}}}

{{{4*0-6y=12}}}

{{{-6y=12}}}

{{{-12=6y}}}

{{{y=-12/6}}}

{{{y=-2}}}...........the y-intercept

if {{{y=0}}}

{{{4x-6*0=12}}}

{{{4x=12}}}

{{{x=12/4}}}

{{{x=3}}}...........the x-intercept

check the graph:

{{{4x-6y=12}}}...write it in slope-intercept form

{{{-6y=-4x+12}}}

{{{y=-4x/-6+12/-6}}}

{{{y=(2/3)x-2}}}


{{{ graph( 500, 500, -10, 10, -10, 10, (2/3)x-2) }}}