Circle c lies on the coordinate plane with its center at (2,−16).
point a(2,−13) lies on circle c.
which equation verifies that the point p(−1,−16) lies on circle c?
(2−1)2+(−16−16)2=(2+2)2+(−16−13)2 (2+16)2+(−1+16)2=(2+2)2+(−16−13)2 (2+1)2+(−16+16)2=(2−2)2+(−16+13)2 (2−16)2+(2−13)2=(2−16)2+(−1−16)2

The answer to your question is the third option

Step-by-step explanation:

Data

Center = (2, -16)

A (2, -13)

P (-1, -16)

Equation

                  (x - h)² + (y - k)² = r²    or

          (x₁ - h)² + (y₁ - k)²   = (x₂ - h)² + (y₂ - k)²

Substitution

                      (2 - 2)² + (-13 + 16)²   = (-1 - 2)² + (-16 + 16)²

The signs in my equation and the one in the options are different but the results are the same. The third option is correct

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.