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 must find two points through which the line passes:
[tex](x_ {1}, y_ {1}) :( 2,3)\\(x_ {2}, y_ {2}}: (- 3,1)[/tex]
Substituting:
[tex]m = \frac {1-3} {- 3-2} = \frac {-2} {- 5} = \frac {2} {5}[/tex]
Answer:
[tex]m = \frac {2} {5}[/tex]
