Question 932910

4. 


{{{2y=4x-6}}}....write in slope-intercept form {{{y=mx+b}}} where {{{m=slope}}} and {{{b=y-intercept}}} 

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

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

slope: {{{m=2}}} and {{{b=-3}}}

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

and x-intercept will be:

{{{y=2x-3}}}...set {{{y=0}}}

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

{{{3=2x}}}

{{{x=3/2}}}

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

plot points ({{{3/2}}},{{{0}}}) and ({{{0}}},{{{-3}}}) and draw a line through:



{{{drawing( 600, 600, -10, 10, -10, 10,circle(0,-3,.14),locate(0,-3,p(0,-3)), circle(3/2,0,.14),locate(3/2,0,p(3/2,0)), graph( 600, 600, -10, 10, -10, 10, 2x-3)) }}}