Write the standard form of the equation of the circle with the given characteristics. center: (–5, –4); solution point: (–3, –7)

Question

Write the standard form of the equation of the circle with the given characteristics.

center: (–5, –4); solution point: (–3, –7)

Answer 1

Equation (x-h)² + (y-k)² = r²

center is (h,k) so you can find h, k directly

use the solution point and the center to find r² [ use the distance formula]

r² = (-3 - -5)² + (-7 - -4)²

when you have the equation you can try plotting it on Desmos to check the center and solution points fot the circle