Question

Determine the slope passing through the points (7,-3) and (5,1).

Answer 1

The slope of a line can be calculated using the following formula:

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

In this case, you know that the following points are on the line mentioned in the exercise:

`\begin{gathered} \mleft(7,-3\mright) \\ \mleft(5,1\mright) \end{gathered}`

Then, you can set up that:

`\begin{gathered} y_2=1 \\ y_1=-3 \\ x_2=5 \\ x_1=7 \\ _{} \end{gathered}`

Knowing these coordinates, you can substitute them into the formula and the evaluate. Therefore, you get that the slope of this line is:

`\begin{gathered} m=(1-(-3))/(5-7) \\ \\ m=(1+3)/(-2) \\ \\ m=(4)/(-2) \\ m=-2 \end{gathered}`

The answer is:

`m=-2`