SOLUTION: How do you write an equation with the relation x 1 2 3 4 5 y 5 7 9 11 13

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Question 95562: How do you write an equation with the relation
x 1 2 3 4 5
y 5 7 9 11 13
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How do you write an equation with the relation
x 1 2 3 4 5
y 5 7 9 11 13
:
This looks like a linear equation so you only need two sets of coordinates:
Assign them as follows: x1=1; y1=5; x2=2; y=7
:
Find the slope using the slope equation: m = %28y2+-+y1%29%2F%28x2+-+x1%29
m = %287-5%29%2F%282-1%29 = 2%2F1 = 2
:
Use the slope/intercept formula: y - y1 = m(x - x1)
y - 5 = 2(x - 1)
y - 5 = 2x - 2
y = 2x - 2 + 5
y = 2x + 3
:
Substitute the given values for x and see that they equal y