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