If I have a list of values can I get an graph equation for it?

Question

Can anyone get an equation for this graph from this list of values or say how to do it?

X Y

1 11,188.72
2 16,014.55
3 20,896.02
4 25,370.85
5 26,050.21
6 35,021.67
7 22,498.58
8 29,373.74
9 24,387.73
10 18,316.31
11 12,339.14
12 13,952.08

Answer 1

Pick two of the points. Then you can use the slope formula to determine slope:

(y2- y1)/(x2 - x1)
(16014.55 - 11188.72)/(2-1) = 4825.83

then use the formula for the equation of a line - y = mx + b

11188.72 = (4825.83)(1) + b
6362.89 = b

y = 4825.83 + 6362.89