Question

Find the slope of the line. 16 + 1 E H. ܪܢܝ TKM

Answer 1

Find two points in the line and then use the slope formula to find the slope of the line.

Notice that two points in the line are:

`\begin{gathered} (0,-2) \\ (3,-3) \end{gathered}`

The slope of a line through two points (x_1,y_1) and (x_2,y_2) is:

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

Substitute the values of the points (0,-2) and (3,-3):

`\begin{gathered} =((-3)-(-2))/((3)-(0)) \\ =(-3+2)/(3-0) \\ =(-1)/(3) \end{gathered}`

Therefore, the slope of the line is:

`-(1)/(3)`