Question 958817
Graphing, find the x and y intercepts, plot them and the line through them.
Y-intercept : Set {{{x=0}}}, solve for {{{y}}}.
{{{6y+3=0}}}
{{{6y=-3}}}
{{{y=-1/2}}}
(0,-1/2)
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X-intercept : Set {{{y=0}}}, solve for {{{x}}}.
{{{0+3=2x}}}
{{{2x=3}}}
{{{x=3/2}}}
(3/2,0)
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{{{drawing(300,300,-3,3,-3,3,grid(1),circle(0,-1/2,0.2),circle(3/2,0,0.2),graph(300,300,-5,5,-5,5,(2x-3)/6))}}}
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Convert the equation to slope-intercept form {{{y=mx+b}}}.
{{{6y=2x-3}}}
{{{y=x/3-1/2}}}
So then,
{{{m=1/3}}}
{{{b=-1/2}}}
But you already solved for the y-intercept.