My Math Forum Is it possible to form the equations without looking at the answer choices?

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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 Senior Member   Joined: Dec 2013 From: Russia Posts: 327 Thanks: 108 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., $\displaystyle y-30=4(7-x)=28-4x$ $\displaystyle y=58-4x$. Thanks from MarkFL, duc and pnf123
 April 1st, 2014, 11:48 AM #3 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,915 Thanks: 883 Hockey Evgeny, are you related to Sergei? Legends of Hockey -- NHL Player Search -- Player -- Sergei Makarov
 April 1st, 2014, 11:50 AM #4 Senior Member   Joined: Dec 2013 From: Russia Posts: 327 Thanks: 108 Ha-ha, no. Makarov is not the most popular last name in Russia, but it is not unusual, either.

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