Question 364439
a)Use the midpoint formula,
{{{x[m]=(x[1]+x[2])/2=(2+4)/2}}}
{{{y[m]=(y[1]+y[2])/2=(5+(-1))/2}}}
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b) Use the distance formula,
{{{D^2=(x[2]-x[1])^2+(y[2]-y[1])^2}}}
{{{D^2=(5-2)^2+(-1-4)^2}}}
{{{D=sqrt(9+25)}}}
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c) Use the equation of a circle centered at (h,k) with radius R.
{{{(x-h)^2+(y-k)^2=R^2}}}
{{{(x-x[m])^2+(y-y[m])^2=(D/2)^2}}}
Expand the x and y terms to get to standard form.