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]
Where:
[tex](x_ {1}, y_ {1})\\(x_ {2}, y_ {2})[/tex]
They are points through which the line passes.
According to the figure we have that the line goes through the following points:
[tex](x_ {1}, y_ {1}) :( 2, -4)\\(x_ {2}, y_ {2}) :( 0, -3)[/tex]
Substituting in the equation we have:
[tex]m = \frac {-3 - (- 4)} {0-2} = \frac {-3 + 4} {- 2} = \frac {1} {- 2} = - \frac {1} {2 }[/tex]
Thus, the slope of the line is:[tex]m = - \frac {1} {2}[/tex]
Answer:
[tex]m = - \frac {1} {2}[/tex]
