<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>
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<p>Help me please</p>
<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>
<p>Wanna get a higher resolution picture btw…</p>
<p>Thanks for the solution. Sorry for the resolution - I thought it was bigger.</p>
