You can put this solution on YOUR website! find the equation of the circle w/center (-4,-5) and tangent to the line 2x+7y-10=0
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Find the equation of the line thru (-4,-5) and perpendicular to 2x+7y-10=0
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The intersection of the 2 lines is the tangent point. The distance from (-4,-5) to the tangent point is the radius.
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(x+4)^2 + (y+5)^2 = r^2 is the circle.