I need help solving this problem.

Question

Question: At what points will the line y=-x intersect the unit circle x2+y2=1?

Answer 1

That circle equation would be x^2 + y^2 = 1

sub the y = -x into the circle
x^2 + x^2 = 1
2x^2 = 1
x^2 = 1/2
x = ±1/√2

if x = +1/√2, y = -1/√2

finish it up