HURRY IM BEING TIMED 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.

The circle has a radius of 7 units.

Step-by-step explanation:

Center of the circle is at origin i.e. Where P is the point where center of the circle lies.

A line with a positive slope, cuts the circle at point (0,7)

Let be the point where the line intersects the circle.

Please refer to the attached diagram for circle.

Clearly, it means that there is a point on circle which is at (0,7).

Radius of a circle is the distance between the center of circle and any point on circle.

We can use distance formula for finding the circle's radius:

Here, the two points are P(0,0) and Q(0,7)

Putting the values and finding out radius:

Hence, the correct option is Circle has a radius equal to 7.

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step-by-step explanation: