ANSWER
-2/5
EXPLANATION
We want to find the slope of the line passing through the points:
(19, -2), (-11, 10)
To do that, we use the formula for slope:
[tex]m\text{ = }\frac{y2\text{ - y1}}{x2\text{ - x1}}[/tex]where (x1, y1) and (x2, y2) are two points that lie on the line.
Therefore, we have that the slope is:
[tex]\begin{gathered} m\text{ = }\frac{10\text{ - (-2)}}{-11\text{ - 19}} \\ m\text{ = }\frac{10\text{ + 2}}{-30}\text{ = }\frac{12}{-30} \\ m\text{ = }-\frac{2}{5} \end{gathered}[/tex]That is the slope of the line.
