Answer:
Part 1) The radius is
Part 2) The points (-15,14) and (-15,-16) lies on the circle
Step-by-step explanation:
<u><em>The correct question is</em></u>
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is ____units.
The point (-15,
?) ) lies on this circle
step 1
Find the radius of the circle
we know that
The distance from the center to any point on the circumference is equal to the radius.
we have
Find the distance
the formula to calculate the distance between two points is equal to
substitute
step 2
The point (-15,y) lies on the circle
we know that
If a ordered pair lie on the circle, them the ordered pair must satisfy the equation of the circle
The equation of the circle is
The center is (-7,-1) an the radius is 17 units
substitute
substitute the x-coordinate of the point and solve for the y-coordinate
For x=-15
square root both sides
therefore
The points (-15,14) and (-15,-16) lies on the circle
see the attached figure to better understand the problem