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

We are given the equations:

y = x

x^2 + y^2 = 1

Now to find the points where they will intersect, combine the two equations:

y^2 + y^2 = 1

2 y^2 = 1

y^2 = 0.5

y = 0.707

From equation 1:

x = y = 0.707

Hence the two functions will intersect at:

(0.707, 0.707)

or

(0.7, 0.7)

7

step-by-step explanation: