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March 31st, 2014, 07:44 PM   #1
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Is it possible to form the equations without looking at the answer choices?

I wanted to know if it's possible to form the equations, without plugging in values. Question is attached below.
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April 1st, 2014, 01:52 AM   #2
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A linear function (whose graph is) passing through points $\displaystyle (x_1,y_1)$ and $\displaystyle (x_2,y_2)$ has equation

$\displaystyle \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$.

In this case, $\displaystyle x_1=7$, $\displaystyle x_2=9$, $\displaystyle y_1=30$ (thousand) and $\displaystyle y_2=22$. So, the equaton is

$\displaystyle \frac{y-30}{x-7}=-\frac{8}{2}=-4$

i.e.,

$\displaystyle y-30=4(7-x)=28-4x$
$\displaystyle y=58-4x$.
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April 1st, 2014, 11:48 AM   #3
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Hockey

Evgeny, are you related to Sergei?

Legends of Hockey -- NHL Player Search -- Player -- Sergei Makarov
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April 1st, 2014, 11:50 AM   #4
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Ha-ha, no. Makarov is not the most popular last name in Russia, but it is not unusual, either.
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