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

1 Answer

  • 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] (y-intercept).
    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]