Answer:
Radius of the circle is, 17 units
The point can be either (-15, -16) or (-15, -14)
Step-by-step explanation:
The general equation of circle is given by:
where, r is the radius of the circle and (h, k) is the center of the circle.
As per the statement:
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
⇒Center = (-7, -1)
then;
Since, the circle passes through the point (8, 7) then we have;
Solve for r:
⇒
⇒
or
units
⇒the radius of the circle is, 17 units
It is given that:
The point (-15, y) lies on this circle.
Substitute the value x = -15 and solve for y
⇒
⇒
Subtract 64 from both sides we have;
⇒
⇒y = -16 or y = -14
Therefore, the point can be either (-15, -16) or (-15, -14)