Question

Find the slope of the line containing the two points. (If an answer is undefined, enter UNDEFINED.)(0, 5), (4, 0)

Answer 1

The Slope of a Line

If we are given the coordinates of two points contained in a line, it is possible to calculate the line's slope by using the formula:

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

Where the coordinates of the two points are (x1,y1) and (x2,y2) respectively.

The points are (0, 5) and (4, 0). Substituting the corresponding values in the formula, we have:

`m=(0-5)/(4-0)`

Calculating:

`\begin{gathered} m=(-5)/(4) \\ m=-(5)/(4) \end{gathered}`

The slope is -5/4