Question 936917
A solution will use the Distance Formula.


The segment length of the given two points,
{{{sqrt((9-2)^2+(3-(-4))^2)}}}
{{{sqrt((7)^2+(7)^2)}}}
{{{sqrt(2*49)}}}
{{{7*sqrt(2)}}}


You want using that,
{{{sqrt((x-2)^2+(y+4)^2)=(1/4)*7*sqrt(2)}}}
and
{{{sqrt((x-9)^2+(y-3)^2)=(3/4)*7*sqrt(2)}}}.


Can you take the rest of the solution process?