Question

Two quantities are related, as shown in the table:

x y
2 2
4 5
6 8
8 11


Which equation best represents the relationship?

Answer 1

y=mx+b, m=delta y / delta x...from the table we can see that m=3/2 so our equation becomes:

y=3x/2 + b, using any point, I'll use (2,2) we can now solve for b, or the y-intercept...

2=3(2)/2 +b

2=3+b, b=-1 our line is thus:

y=1.5x-1