# Chapter 2 - Section 2.2 - The Slope of a Line - 2.2 Exercises - Page 158: 38

slope=6

#### Work Step by Step

To calculate the slope between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the formula: $slope=m=\frac{y_2-y_1}{x_2-x_1}$ We use the formula to find the slope between the points $(3/4,1/3)$ and $(5/4,10/3)$: $slope=m=\displaystyle \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{10/3-1/3}{5/4-3/4}=\frac{9/3}{2/4}=\frac{3}{1/2}=3*2=6$

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