Cervantes Wyatt
06/11/2024 · Junior High School
Find the equation of the tangent line at the given point on each curve. \( \begin{array}{ll}\text { 17. } x^{2}+y^{2}=25 ; \quad(-3,4) & \text { 18. } x^{2}+y^{2}=100 ; \quad(8,-6)\end{array} \)
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For the curve \(x^2 + y^2 = 25\) at \((-3, 4)\):
\[
y = \frac{3}{4}x + \frac{25}{4}
\]
For the curve \(x^2 + y^2 = 100\) at \((8, -6)\):
\[
y = \frac{4}{3}x - \frac{50}{3}
\]
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