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September 29th, 2015, 02:04 AM   #1
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Rate of change to determine missing values in table

How I find the missing values in the table below? I'm confused on this. I know the formula for rate of change is y2-y1/x2-x1 but I don't get it. Please explain

The constant rate of change is 3.1.

x y
-4.5 (blank)
1.3 -2.17
6 (blank)
(blank) 21.39

Thank you
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September 29th, 2015, 03:44 AM   #2
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Do you know the point-slope formula for a line? If a line has gradient (or rate of change) $m$ and passes through the point $(x_0,\,y_0)$, then it's equation is $y = m(x - x_0) + y_0$.

In your case you have $m = 3.1$.
Also, look at the third row. It's got an $x$ and $y$ value. That's your point $(x_0, y_0)$.

After you have your equation, you can use it to fill the blanks.
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