Answer:
slope: -3/4
Step-by-step explanation:
To find the slope of the line that contains the points [tex](-5, -1)[/tex] and [tex](-9, 2)[/tex], we use the formula for slope:
[tex]\large\boxed{\boxed{ \textsf{slope(m)} = \dfrac{y_2 - y_1}{x_2 - x_1}}} [/tex]
Given the points [tex](-5, -1)[/tex] and [tex](-9, 2)[/tex], we can substitute the coordinates into the formula:
[tex] \begin{aligned} \textsf{slope(m)} & = \dfrac{2 - (-1)}{-9 - (-5)} \\\\ & = \dfrac{2 + 1}{-9 + 5} \\\\ &= \dfrac{3}{-4} \\\\ & = -\dfrac{3}{4} \end{aligned}[/tex]
So, the slope of the line is:
[tex] \large\boxed{\boxed{-\dfrac{3}{4}}} [/tex]
