Question

If x= 0, 1, 2, and 3 and y=1, 1.5, 2, and 2.5, then what is the "y=" function?

Answer 1

The values are increasing equally so it's a linear function.
The formula is
`y=mx+b`
For
`x=0`,
`y=1` so
`b=1` (y-intercept).
Take some point and put its coordinates into the equation to find
`m` (slope).

`2=m\cdot2+1\\ 2m=1\\ m=(1)/(2)\\\\ \boxed{y=(1)/(2)x+1}`