For this case we must find the slope of the line that passes through:
[tex](-2, -3)\ and\ (-4, -9)[/tex]
By definition, the slope of a line is given by:
[tex]m = \frac {y2-y1} {x2-x1}[/tex]
We have the points:
[tex](x1, y1) = (- 2, -3)\\(x2, y2) = (- 4, -9)[/tex]
Substituting:
[tex]m = \frac {-9 - (- 3)} {- 4 - (- 2)}\\m = \frac {-9 + 3} {- 4 + 2}\\m = \frac {-6} {- 2}\\m = 3[/tex]
Answer:
[tex]m = 3[/tex]
