Question 912357

a. {{{3x-2y = 6}}}

x-intercept: set {{{y=0}}} and solve for {{{x}}}

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

{{{3x= 6}}}
{{{x = 6/3}}}
{{{x = 2}}} ...x-intercept at ({{{2}}},{{{ 0 }}})

y-intercept: set {{{x=0}}} and solve for {{{y}}}

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

{{{-2y= 6}}}
{{{y = 6/-2}}}
{{{y = -3}}} ...y-intercept at ({{{ 0 }}},{{{ -3 }}})

{{{drawing( 600, 600, -10, 10, -10, 10,circle(2,0,.1),locate(2,0,p(2,0)), circle(0,-3,.1),locate(0,-3,p(0,-3)), graph( 600, 600, -10, 10, -10, 10, 3x/2-3) )}}} 


b. {{{ y = -2x+3 }}}

x-intercept: set {{{y=0}}} and solve for {{{x}}}

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

{{{2x= 3}}}
{{{x = 3/2}}} ...x-intercept at ({{{3/2}}},{{{ 0 }}})

y-intercept: set {{{x=0}}} and solve for {{{y}}}

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

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

{{{y = 3}}} ...y-intercept at ({{{ 0 }}},{{{ 3 }}})

{{{drawing( 600, 600, -10, 10, -10, 10,circle(3/2,0,.1),locate(3/2,0,p(3/2,0)), circle(0,3,.1),locate(0,3,p(0,3)), graph( 600, 600, -10, 10, -10, 10, -2x+3) )}}}