$\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=240\\
x=30
\end{cases}\implies 240=k30
\\\\\\
\cfrac{240}{30}=k\implies 8=k$

4 0

3 years ago

What is the slope and the point of y - 5 = 3/2 (x + 3)? please help

goldfiish [28.3K]

y - 5 = 3/2(x + 3)

y - 5 = 3/2x + 9/2

y = 3/2x + 9/2 + 5

y = 3/2x + 19/2

Equation of the line formula : y = mx + c

#So the slope (m) is 3/2

<h2>Answer : 3/2</h2>

4 0

3 years ago

What is the slope of the line?

OLEGan [10]

to get the slope of any straight line, we can simply use two points off of it, hmmm say let's use here (2,8) and (4,4)

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{8})\qquad
(\stackrel{x_2}{4}~,~\stackrel{y_2}{4})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-8}{4-2}\implies \cfrac{-4}{2}\implies -2$

6 0

3 years ago