Digital ACT Math Practice Question #1451
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Formula for tangent to x^2+y^2=r^2 at (x1, y1) is x1*x + y1*y = r^2 -> 3x + 4y = 25.
The radius to (3, 4) has slope 4/3. The tangent line is perpendicular, so its slope is -3/4. Point-slope: y - 4 = -3/4(x - 3) -> 4(y - 4) = -3(x - 3) -> 4y - 16 = -3x + 9 -> 3x + 4y = 25....
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