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find the equation of the line perpendicular to 5x 3y 5 0 passing through the point 0 2

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Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)

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Answer to a math question Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)

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Rearranging the equation: 3y=-5x+5 y=-\frac{5}{3}x+\frac{5}{3} So slope here is -\frac{5}{3} Since it is perpendicular, slope should be negative reciprocal: m_{perpendicular}=\frac{3}{5} Equation as it passes through (0,-2): y-\left(-2\right)=\frac{3}{5}\left(x-0\right)

y+2=\frac{3}{5}x

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