Questions and Answers
What is the equation of a circle with its center at (3, -4) and a radius of 5 units?
$(x-3)^2 + (y+4)^2 = 25$
If the point (5, -2) lies on the circle $x^2 + y^2 - 6x + 4y - 12 = 0$, what is the center of the circle?
(3, -2)
What is the equation of a line that passes through the points (1, 3) and (4, 7)?
$y = \frac{4}{3}x - \frac{1}{3}$
If the circles $x^2 + y^2 - 6x + 4y - 12 = 0$ and $(x-9)^2 + (y-7)^2 = 25$ intersect at two distinct points, what is the distance between their centers?
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