Question

The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0,7).

Which statement must be true?
The circle has a radius greater than 7.
The circle has a radius equal to 7.
The slope of the line is equal to 7.
The slope of the line is not equal to 7.
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Answer 1

the radius of the circle =7

Explanation:

the function of a circle:(x – h)^2 + (y – k)^2 = r^2

center(0,0) because the center of a circle is at the origin (h,k)

a line intersect at (0,7)

(0-0)^+7-0)^2=r^2

r^2=49 , r=√49

radius r=7