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# Help!

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What is the slope of a line perpendicular to the line whose equation is $\frac{x}4-\frac{y}5=1$? Express your answer as a common fraction.

Jul 17, 2022

#1
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Believe it or not, I don't speak LaTex

Jul 17, 2022
#4
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they didn't do their latex correctly, it was $$\frac{x}{4} - \frac{y}{5}=1$$

hipie  Jul 18, 2022
#2
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Ok!

What is the slope of a line perpendicular to the line whose equation is (x/4)-(y/5)=1? Express your answer as a common fraction.

Jul 17, 2022
#3
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We have this equation: $$\frac{x}4-\frac{y}5=1$$

Subtract $${x \over 4}$$ from both sides: $$-{y \over 5} = 1 - {x \over 4}$$

Multiply the entire equation by -5: $$y = {5 \over 4} x - 5$$

This means that the slope is $${5 \over 4}$$, the slope of the line that is perpendicular to this is the negative reciprocal, or $$\color{brown}\boxed{-{4 \over 5}}$$

Jul 17, 2022