For this case we have that by definition, the slope of a line is given by:
[tex]m =\frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
We have the following points:
[tex](x_ {1}, y_ {1}): (\frac {1} {5}, 4)\\(x_ {2}, y_ {2}): (\frac {4} {5}, - 4)[/tex]
Substituting we have:
[tex]m = \frac {-4-4} {\frac {4} {5} - \frac {1} {5}}\\m = \frac {-8} {\frac {3} {5}}\\m = - \frac {5 * 8} {3}\\m = - \frac {40} {3}[/tex]
The slope is:
[tex]m = - \frac {40} {3}[/tex]
Answer:
[tex]m = - \frac {40} {3}[/tex]
