Answer:
The correct option is 2. The circle has a radius equal to 7.
Step-by-step explanation:
It is given that center of a circle is at the origin on a coordinate grid.
The standard form of the circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h,k) is center of the circle and r is radius.
The equation of the circle is
[tex](x-0)^2+(y-0)^2=r^2[/tex]
[tex]x^2+y^2=r^2[/tex]
The line intersects the circle at (0,7) it means the point lies on the circle.
Put x=0 and y=7 in the above equation.
[tex]0^2+7^2=r^2[/tex]
[tex]49=r^2[/tex]
[tex]7=r[/tex]
Therefore the radius of the circle is 7 units.
The line is passing through the point (0,7) with positive slope. Two points are required to find the slope of a line.
Since we have a single point therefore we cannot find the slope of the line. Second option is correct.
