SOLUTION: Find the equation of the circle with center (-4,-5) and tangent to the line 2x+7y-10=0?

Question 936969: Find the equation of the circle with center (-4,-5) and tangent to the line 2x+7y-10=0?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If it's tangent to the line, then a line from the center point to the intersection point is perpendicular to the tangent line.

The perpendicular line would have a slope of

Slope of the perpendicular line
since perpendicular lines have slopes that are negative reciprocals.
Using the point,

Equation of the perpendicular line
Find the intersection point of the two lines.

Multiply both sides by 14.

The distance from (-4,-5) to (-2,2) is the radius of the circle.

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