Question 184087
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Given: ( -1 ,-7 ) and ( 0 ,2 ) 
We find the {{{Slope=m}}}
{{{m=(y[2]-y[1])/(x[2]-x[1])=(2-(-7))/(0-(-1))=(2+7)/(0+1)=9/1=9}}}
Now thru point: (-1,-7) via Slope-Intercept Form {{{system(y=mx+b)}}}
{{{-7=9(-1)+b}}}
{{{b=-7+9=2}}}, Y-Intercept
Therefore it follows------>{{{y=9x+2}}}
In Std form----> {{{-9x+y-2=0}}}
We check other point: (0,2) Via Slope-Intercept form above
{{{2=9(0)+b}}}
{{{b=2}}}, the same (should be)
Also it follows-------->{{{y=9x+2}}}--->{{{-9x+y-2=0}}} Std From>> {{{Ax+By+C=0}}}
Where:
{{{highlight(A=-9)}}}
{{{highlight(B=1)}}}
{{{highlight(C=-2)}}}
We'll see the graph:
{{{drawing(400,400,-5,5,-10,5,grid(1),graph(400,400,-5,5,-10,5,9x+2),green(circle(-1,-7,.15)),green(circle(0,2,.15))))}}}
Thank you,
Jojo</pre>