Respuesta :

In the diagram, we give the coordinates as follows

(0,-6) where 0 is x(1) and -6 is y(1)

Also,(3,3) where 3 is x(2) and 3 is y(2)

The slope of a line (m) can be solved with the formula below:

[tex]\begin{gathered} \text{slope(m)}=\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}[/tex]

We then insert the coordinates into the formula

[tex]\begin{gathered} m=\frac{3-(-6)}{3-0} \\ m=\frac{3+6}{3} \\ m=\frac{9}{3} \\ m=3 \end{gathered}[/tex]

Therefore the slope of the line is 3.

Note: m and the slope are the same.

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