For this case we have that by definition, the slope of a line is given by:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cclrk8k9bxv15y05i3ra8kmqckbcx942t8.png)
Where:
and
are two points through which the line passes.
According to the figure we have to, the line goes through:
![(x_ {1}, y_ {1}) :( 0, -2)\\(x_ {2}, y_ {2}): (- 2,0)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2ben4qya41ls0fhsi3esogmu4fpebyc99f.png)
Substituting we have:
![m = \frac {0 - (- 2)} {- 2-0} = \frac {0 + 2} {- 2} = \frac {2} {- 2} = - 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/piey05hagcjqi66xng6jc1v3crtl03bo52.png)
Thus, the slope of the line is -1.
Answer:
![m = -1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j6i05aec91ay4453xiwaodbnsrwkvm7z1f.png)