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(13, -2), (-2,-3) find the slope of the line

Sagot :

The slope of a line can be calculated with the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case, given these points:

[tex]\mleft(13,-2\mright);(-2,-3)[/tex]

You can set up that:

[tex]\begin{gathered} y_2=-3 \\ y_1=-2 \\ x_2=-2 \\ x_1=13 \end{gathered}[/tex]

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the slope of the line. This is:

[tex]\begin{gathered} m=\frac{-3-(-2)}{-2-13} \\ \\ m=\frac{-3+2}{-15} \\ \\ m=\frac{-1}{-15} \\ \\ m=\frac{1}{5} \end{gathered}[/tex]

The slope is:

[tex]m=\frac{1}{5}[/tex]