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}): (- 7, -7)\\(x_ {2}, y_ {2}): (- 3,6)[/tex]
Substituting we have:
[tex]m = \frac {6 - (- 7)} {- 3 - (- 7)} = \frac {6 + 7} {- 3 + 7} = \frac {13} {4}[/tex]
Thus, the slope of the line is:[tex]\frac {13} {4}[/tex]
Answer:
[tex]m = \frac {13} {4}[/tex]
