Question

use the graph to find the following A) find the slope of the lineB) is the line increasing or decreasingC) estimate the vertical intercept(x y)=

Answer 1

The Solution.

To find the slope of the line from the given graph:

First, we shall pick two coordinates in the graph, that is

`(0,2),(2,-1)`

This implies that

`\begin{gathered} (x_1=0,y_1=2)\text{ and} \\ (x_2=2,y_2=-1) \end{gathered}`

By formula, the slope is given as below:

`\text{ slope=}(y_2-y_1)/(x_2-x_1)`

substituting the values in the above formula, we get

`\begin{gathered} \text{ Slope=}(-1-2)/(2-0) \\ \\ \text{ Slope =}(-3)/(2) \end{gathered}`

So, the slope of the line is -3/2

b. From the graph, and from the slope being a negative value, it is clear that the line graph is Decreasing.

c. To estimate the vertical intercept is to find the y-intercept of the line.

Clearly from the graph, we can see that the vertical intercept is (0,2), that is, the point where the line cut the y-axis.

Therefore, the vertical intercept is (0,2).