Question

(5,-8),(10,3)what is the answer?

Answer 1

The two coordinates given are:

`\begin{gathered} (x_1,y_1)=(5,-8) \\ (x_2,y_2)=(10,3) \end{gathered}`

We need to find the slope of the line that passes through these points.

The formula for the slope of a line is:

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

Let's substitute the given points and find the slope. Shown below:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(3-(-8))/(10-5) \\ m=(3+8)/(5) \\ m=(11)/(5) \end{gathered}`

The slope of the line passing through (5, -8) and (10, 3) is 11/5.

Answer

`(11)/(5)`