Chapter P.4, Problem 2E

Solution

To estimate the slope of the given line.

  $\frac{2}{3}$

Given:

The graph of line:

  

Concept Used:

Equation of the line passing through the points $\left(x_1,y_1\right)\text{ and }\left(x_2,y_2\right)$ is given by $y-y_1=m\left(x-x_1\right)$ , where $\text{slope, }m=\frac{y_2-y_1}{x_2-x_1}$ .

Calculation:

The slope of any line is given by rise over run. That is, the ratio of the number of units it rises or fall over the number of units it moves forward or backward from a fixed point.

In the given figure we can see that from the left corner the line moves up 4 units and then move 6 units to the right side.

Hence, the slope of the line is

  $\begin{array}{c}\text{slope, }m=\frac{\text{rise}}{\text{run}}\\ =\frac{4}{6}\\ =\frac{2}{3}\end{array}$

Thus, the slope of the given line is $\frac{2}{3}$ .