Answer:
[tex]\boxed {m = -\frac{5}{7}}[/tex]
Step-by-step explanation:
Use the Slope Formula to determine the slope of two given points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
First Point: [tex](x_{1} , y_{1})[/tex]
Second Point: [tex](x_{2}, y_{2})[/tex]
-Substitute both points:
First Point: [tex](5, 11)[/tex]
Second Point: [tex](19, -1)[/tex]
[tex]m = \frac{-1 - 11}{19 - 5}[/tex]
-Solve for the slope:
[tex]m = \frac{-1 - 11}{19 - 5}[/tex]
[tex]m = \frac{-10}{14}[/tex]
[tex]\boxed {m = -\frac{5}{7}}[/tex]
Therefore, the slope is [tex]-\frac{5}{7}[/tex]
