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WZ
Numerade Educator

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Problem 53 Hard Difficulty

Use a scalar projection to show that the distance from a point $ P_1 (x_1, y_1) $ to the line $ ax + by + c = 0 $ is
$$ \frac{\mid ax_1 + by_1 + c \mid}{\sqrt{a^2 + b^2 }} $$
Use this formula to find the distance from the point $ (-2, 3) $ to the line $ 3x - 4y + 5 = 0 $

Answer

$\frac{13}{5}$

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Video Transcript

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