Question

A line crosses the coordinates (-3,5) and (2,-5). what is the slope of the line?

Answer 1

The line passes through 2 points given:

`\begin{gathered} (x_1,y_1)=(-3,5) \\ \text{and} \\ (x_2,y_2)=(2,-5) \end{gathered}`

We can find the slope using the slope formula shown below:

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

Substituting the points into the formula:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(-5-5)/(2--3)=(-10)/(5) \\ m=-2 \end{gathered}`

The slope of the line shown in the figure is:

-2