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Make a table and plot the equation $y=\frac{3}{4}x+2\text{,}$ which makes a straight line. Use the plot to determine the slope of this line.

Solution

First, we choose some $x$ -values to make a table, and compute the corresponding $y$ -values.

This table lets us plot the graph and identify a slope triangle that is easy to work with.

Since the slope triangle runs $4$ units and then rises $3$ units, the slope is $\frac{3}{4}\text{.}$