Nellie is analyzing a circle, y2 + x2 = 25, and a linear function g(x) will they intersect?

4.0/5

16

The linear function is given by the following table:

-7    -2

-6    -1

 1     6

The equation of the line is:

y = x + 5

The equation of the circle is:

y2 + x2 = 25

Therefore we have the following system of equations:

y2 + x2 = 25

y = x + 5

The solution is:

x = -5, y = 0

x = 0, y = 5

Therefore, the line and the circle intersect at two points:

(-5, 0)

(0, 5)

they will intersect at:

(-5, 0)

(0, 5)

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

7

step-by-step explanation: