Question 832251
Use the two known points to calculate the slope.
{{{((DELTA) y)/((DELTA) x)=(5-2)/(3-5)=3/(-2)=-3/2}}}
Now us one known point and one unknown point using the slope formula.
Solve for the unknown point.
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{{{(4-2)/(m-5)=-3/2}}}
{{{2/(m-5)=-3/2}}}
{{{4/(m-5)=-3}}}
{{{4=-3(m-5)}}}
{{{4=-3m+15}}}
{{{3m=11}}}
{{{highlight(m=11/3)}}}
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{{{(7-2)/(n-5)=-3/2}}}
{{{5/(n-5)=-3/2}}}
{{{10=-3(n-5)}}}
{{{10=-3n+15}}}
{{{3n=5}}}
{{{highlight(n=5/3)}}}
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{{{drawing( 300, 300, -5, 10, -5, 10,
  grid( 1 ),
  circle(5,2,0.25),
   circle(3,5,0.25),
   circle(11/3,4,0.25),
   circle(5/3,7,0.25),
  graph(300,300,-5,10,-5,10,-(3/2)(x-5)+2)
)}}}