A math problem

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1

<p>Hello. I have problems with this problem. I find that the coordinates of A are (-4;3) but what I am supposed to do after that?</p>

<p><a href="http://img21.imageshack.us/img21/8141/mathproblemq.th.jpg%5B/url%5D"&gt;http://img21.imageshack.us/img21/8141/mathproblemq.th.jpg&lt;/a&gt;&lt;/p>

<p>Help me please</p>

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<p>Take the center of the circle, which is (0,0), and label it O. Then, OA is a radius. Since line L is tangent, it means it is perpendicular to the radius. The slope of perpendicular lines are opposite reciprocals. So:</p>

<p>slope of OA = (3 - 0)/(-4 - 0) = -3/4</p>

<p>Opposite reciprocal: 4/3. So, the slope of line L is 4/3.</p>

<p>Alternatively, if you know calculus, just do implicit differentiation for a fast solution.</p>

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<p>Wanna get a higher resolution picture btw…</p>

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<p>Thanks for the solution. Sorry for the resolution - I thought it was bigger.</p>