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