Posted by **Abby** on Saturday, April 6, 2013 at 5:05pm.

Please help me find the rule input 0 output 2 then input 1 output 4 next input 2 output 6 then input 3 output 8 last input 4 output 10

Thanks

- math -
**MathMate**, Saturday, April 6, 2013 at 5:19pm
If you suspect that the rule is a straight line,

y=mx+b

then find the slope using

m=(y2-y1)/(x2-x1)

Substitute m and (x1,y1) into the equation to find b.

Verify that the rule applies to all the points.

- math -
**Ollie**, Saturday, April 6, 2013 at 5:23pm
First make a table to show input and output.

IN. OUT

0. 2

1. 4

2. 6

.. ..

Notice that the difference between outputs is 2.

But 2 times each input does NOT give the correct output. However, if you add 2 to the product of 2 and input, you get the correct output.

Therefore, the rule is 2x +2 where x is the input.

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