Question 173754
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We use Point-Slope Form----->{{{m=(y[2]-y[1])/(x[2]-x[1])}}}
where-->{{{system(y[2]=8,y[1]=6,x[2]=3,x[1]=2)}}}
Then,
{{{m=(8-6)/(3-2)=2/1=2}}}
Then, via Slope-Intercept form: {{{y=mx+b}}}
thru points (2,6):
{{{6=2*2+b}}}-->{{{b=6-4=2}}}
Therefore it follows----------->{{{y=2x+2}}}
In standard: {{{highlight(-2x+y-2=0)}}}
We'll see the graph:
{{{drawing(400,400,-5,5,-5,10,grid(1),graph(400,400,-5,5,-5,10,2x+2),blue(circle(2,6,.10)),blue(circle(3,8,.10))))}}}
Thank you,
Jojo</pre>