Thread: finding the equation that relates to set of two numbers

1. finding 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

2. Originally Posted by nicotynamide
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
y = 2x + 2.

(If you plot the points it's obvious there is a linear relationship y = mx + c. When x = 0, y = 2 so c = 2. Then y = mx + 2. And the gradient is easily seen to be m = 2).

3. 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.