Question 95562
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 = {{{(y2 - y1)/(x2 - x1)}}}
m = {{{(7-5)/(2-1)}}}  =  {{{2/1}}} = 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