The equation used is the standard equation that has the form:
(x - h) ^ 2 + (y - k) ^ 2 = r ^ 2.
where h and k are the x and y coordinates of the center of the circle and r is the radius.
Substituting values:
(x - 2) ^ 2 + (y + 5) ^ 2 = 6 ^ 2.
We substitute the point (m, -5) in the equation of the circumference:
(m - 2) ^ 2 + (-5 + 5) ^ 2 = 6 ^ 2.
Rewriting:
(m - 2) ^ 2 + 0 = 6 ^ 2
(m - 2) ^ 2 = 6 ^ 2
(m - 2) = 6
m = 6 + 2
m = 8
Answer:
the value of m is:
m = 8