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 two points through which the line passes.
We have as data that:
[tex](x_ {1}, y_ {1}) :( 0,0)\\(x_ {2}, y_ {2}): (- 2, -3)[/tex]
Substituting:
[tex]m = \frac {-3-0} {- 2-0}\\m = \frac {-3} {- 2}\\m = \frac {3} {2}[/tex]
Thus, the slope of the line is [tex]\frac {3} {2}[/tex]
Answer :
[tex]m = \frac {3} {2}[/tex]
