Math Help - Find the point (x, y) on the line y=x that is equidistant from the points....

1. Find the point (x, y) on the line y=x that is equidistant from the points....

Hi there I need a bit of help!
Find the point (x, y) on the line y=x that is equidistant from the points (9, −1) and (−10, −10).

I'm not really sure how to do it! Anything helps! Thank you!

2. Re: Find the point (x, y) on the line y=x that is equidistant from the points....

Use the fact that $y=x$ and the distance formula to state:

$(x-9)^2+(x+1)^2=(x+10)^2+(x+10)^2$

Now solve for x...