4 years ago

Determine the slope Of a line perpendicular to the line with equation 6x-4y=30

1 answer:

7 0

First, simplify the equation into y=mx+b form. This would be y=3x/2-15/2. And for the slope of a line perpendicular to the original line, there is a trick. Their slopes should multiply to -1. For 3/2 to multiply to -1, you need -2/3.

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The question is in the image that is attached :)

laila [671]

So hmm check the picture below

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
variation
\end{array}\\\\
-------------------------------\\\\
\textit{we know that }
\begin{cases}
x=3\\
y=1
\end{cases}\implies 1=k3\implies \cfrac{1}{3}=k
\\\\\\
thus\qquad \qquad y=\cfrac{1}{3}x$