Question

How to find the slope and tell what kind of slope each line lillustrates

Answer 1

The Solution:

Given the graph in the picture on the Question section.

We are required to show how to find the slope of a line and interpret it.

Step 1:

The formula for finding the slope of the line is:

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

Step 2:

Pick two coordinates on the line.

`(2,-3)\text{ and (3,-2)}`
`\begin{gathered} (x_1=2,y_1=-3) \\ (x_2=3,y_2=-2) \end{gathered}`

Step 3:

Substituting the above values in the formula for slope, we get

`\text{ slope=}(-2--3)/(3-2)=(-2+3)/(3-2)=(1)/(1)=1`

The slope is a positive slope, which means that when the value of x is increasing then the value of y is increasing. Also, for every unit change in the value of y, there is a corresponding unit change in the value of x.

Therefore, the slope is 1.