Which of the following lines is perpendicular to y = -5x - 2?

1 answer:

5 0

Answer: c is perpendicular to y = -5x - 2

Explanation: The slope of a perpendicular line is an opposite reciprocal of the original slope/line. (Basically switch the numerator and denominator and the sign. In this case, the slope is -5/1x. It’s opposite reciprocal is 1/5x.)

You can take a look at my notes for further clarification. Hope this helps!

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$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{time it takes to fill a tank varies inversely with the water rate}\\\\
t=\cfrac{k}{w}\quad 
\begin{cases}
t=\textit{time to fill}\\
w=\textit{water rate}
\end{cases}$

$\bf \textit{we also know that }
\begin{cases}
w=\stackrel{g/min}{8}\\
t=\stackrel{min}{45}
\end{cases}\implies 45=\cfrac{k}{8}\implies 360=k
\\\\\\
therefore\qquad \boxed{t=\cfrac{360}{w}}
\\\\\\
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