State what is given in the question
Given two points as shown below:
[tex]\begin{gathered} 1\colon(-7,-6) \\ 2\colon(-1,6) \end{gathered}[/tex]
State what is to be found
We are to found the slope of the line that contains the two given points
In other to achieve this, the steps below is a guide
Step 1: State the formula for finding slope of two points
Given two points A and B of a line with coordinates below
[tex]\begin{gathered} A(x_1,y_1) \\ B(x_2,y_2) \end{gathered}[/tex]
The formula for finding the slope is:
[tex]s=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 2: Find the slope of the two given points
Let us substitute the coordinates given in the two points given into the formula to find the slope
[tex]\begin{gathered} 1\colon(-7,-6); \\ 2\colon(-1,6) \\ x_1=-7,y_1=-6 \\ x_2=-1,y_2=6 \\ s=\frac{6--6}{-1--7} \\ s=\frac{6+6}{-1+7} \\ s=\frac{12}{6} \\ s=2 \end{gathered}[/tex]
Hence, the slope of the given two points is 2
