Question 1200535
The line x - 2y + 4 = 0 is tangent to a circle at (0,2). The line y = 2x - 7 is tangent to the same circle at (3, -1). Find the center of the circle.
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Find the slope of each line.
Then find the slope of the lines thru the points and perpendicular to the given lines.
Then find the equations of the perpendicular lines.
Find the intersection of the lines.
That's the center of the circle (point (h.k)).
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Not requested:
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The distance from the center of the circle to either given point is the radius of the circle, r.
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The equation of the circle is (x-h)^2 + (y-k)^2 = r^2