1. Note the equation \(\frac{Y_2-Y_1}{X_2-X_1}\)
2. Substitute \(\frac{(30)-(16)}{(5)-(2)}\)
3. Solve \(\frac{14}{3}\)
4. Note the equation \(y=mx+b\)
We already have \(m\), which is \(\frac{14}{3}\)
So \(y=\frac{14}{3}x+b\)
5. Substitute a coordinate \((x,y)\), from the problem
Take \((2,16)\) and substitute it in to get: \(16=\frac{14}{3}*(2)+b\)
Solving we get \(b=\frac{20}{3}\)
6. Put \(b\) and \(m\) together to make the equation \(\boxed{y=\frac{14}{3}x+\frac{20}{3}}\)
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