For this case we have that by definition, having two points through which a line passes [tex](x_ {1}, y_ {1})\ and\ (x_ {2}, y_ {2})[/tex], we can find its slope of the following form:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
If we have:
[tex](x_ {1}, y_ {1}) = (5,7)\\(x_ {2}, y_ {2}) = (- 1,19)\\m = \frac {19-7} {- 1-5}[/tex]
We know that equal signs are added and the same sign is placed
[tex]m = \frac {12} {- 6}\\m = -2[/tex]
So, the slope of that line is [tex]m = -2[/tex]
Answer:
[tex]m = -2[/tex]
