can someone help me find the equation that relates to these sets of paired numbers and plz explain the method used

0 - 2

1 - 4

2 - 6

3 - 8

4 - 10

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- Oct 7th 2009, 09:18 PMnicotynamidefinding the equation that relates to set of two numbers
can someone help me find the equation that relates to these sets of paired numbers and plz explain the method used

0 - 2

1 - 4

2 - 6

3 - 8

4 - 10 - Oct 7th 2009, 09:42 PMmr fantastic
- Oct 7th 2009, 09:56 PMpacman
since this is a linear equation, use point-slope form of line: y = mx + b

@(0,2), then

2 = m(0) + b, then b = 2.

Next, @ (1,4) and b = 2,

4 = m(1) + 2,

m = 4 - 2, then

m = 2, this your slope which is m.

Now you know your y-intercept, b which is equal to 2 and slope m, which is equal to 2.

y = 2x + 2,

CHECK: @ x = 0, 1, 2, 3, 4, we have

y = 2(0) + 2 = 0 + 2 = 2,

y = 2(1) + 2 = 2 + 2 = 4,

y = 2(2) + 2 = 4 + 2 = 6,

y = 2(3) + 2 = 6 + 2 = 8,

y = 2(4) + 2 = 8 + 2 = 10.

We now confirmed the correctness of our generated equation y = 2x + 2.