Question 366932
Find the intersection point first.
{{{4y=-x+2}}}
{{{x=2-4y}}}
Substitute,
{{{x+3y=-1}}}
{{{2-4y+3y=-1}}}
{{{-y=-3}}}
{{{highlight(y=3)}}}
{{{x=2-4(3)}}}
{{{x=2-12}}}
{{{highlight(x=-10)}}}
(-10,3)
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{{{drawing(300,300,-12,8,-10,10,circle(-10,3,0.3),circle(6,2,0.3),grid(1),graph(300,300,-12,8,-10,10,0,(-x+2)/4,(-1-x)/3))}}}
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Find the slope between (-10,3) and (6,2)
{{{m=(2-3)/(6-(-10))=-(1/16)}}}
{{{y=mx+b}}}
{{{2=-(1/16)(6)+b}}}
{{{2=-3/8+b}}}
{{{b=19/8}}}
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{{{y=-(1/16)x+19/8}}}
{{{16y=-x+38}}}
{{{highlight(x+16y=38)}}}
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{{{drawing(300,300,-12,8,-10,10,circle(-10,3,0.3),circle(6,2,0.3),grid(1),graph(300,300,-12,8,-10,10,0,(-x+2)/4,(-1-x)/3,-(1/16)x+19/8))}}}