Question

Find the slope of the line that contains thetwo pintsROUND YOUR ANSWER OUT TWODECIMAL PLACES

Answer 1

State what is given in the question

Given two points as shown below:

`\begin{gathered} 1\colon(-7,-6) \\ 2\colon(-1,6) \end{gathered}`

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

`\begin{gathered} A(x_1,y_1) \\ B(x_2,y_2) \end{gathered}`

The formula for finding the slope is:

`s=(y_2-y_1)/(x_2-x_1)`

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

`\begin{gathered} 1\colon(-7,-6); \\ 2\colon(-1,6) \\ x_1=-7,y_1=-6 \\ x_2=-1,y_2=6 \\ s=(6--6)/(-1--7) \\ s=(6+6)/(-1+7) \\ s=(12)/(6) \\ s=2 \end{gathered}`

Hence, the slope of the given two points is 2