If x= 0, 1, 2, and 3 and y=1, 1.5, 2, and 2.5, then what is the y= function?
Mathematics
renee5000
Question
If x= 0, 1, 2, and 3 and y=1, 1.5, 2, and 2.5, then what is the "y=" function?
1 Answer

1. User Answers konrad509
The values are increasing equally so it's a linear function.
The formula is [tex]y=mx+b[/tex]
For [tex]x=0[/tex], [tex]y=1[/tex] so [tex]b=1[/tex] (yintercept).
Take some point and put its coordinates into the equation to find [tex]m[/tex] (slope).
[tex]2=m\cdot2+1\\ 2m=1\\ m=\dfrac{1}{2}\\\\ \boxed{y=\dfrac{1}{2}x+1}[/tex]