Question 881582
Isoceles triangles have at least 2 equal length sides.
{{{drawing(300,300,-6,6,-2,10,grid(1),circle(-2,8,0.2),circle(-2,2,0.2),blue(line(-2,8,-2,2),green(line(-10,5,10,5))))}}}
Any point on the green line (except at x=-2) will form an isosceles triangle with the other two points.
.
.

(3,5)
{{{drawing(300,300,-6,6,-2,10,grid(1),
circle(-2,8,0.2),
circle(-2,2,0.2),
circle(3,5,0.2),
blue(line(-2,8,3,5)),blue(line(3,5,-2,2)),
blue(line(-2,8,-2,2),green(line(-10,5,10,5))))}}}
.
.

(0,5)
{{{drawing(300,300,-6,6,-2,10,grid(1),
circle(-2,8,0.2),
circle(-2,2,0.2),
circle(0,5,0.2),
blue(line(-2,8,0,5)),blue(line(0,5,-2,2)),
blue(line(-2,8,-2,2),green(line(-10,5,10,5))))}}}