Answer:
[tex]\dfrac{11}{8}[/tex]
Step-by-step explanation:
Slope formula
[tex]\textsf{Slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.}[/tex]
Define the points:
[tex]\textsf{Let}\:(x_1,y_1)=(5,7)[/tex]
[tex]\textsf{Let}\:(x_2,y_2)=(-3,-4)[/tex]
Substitute the defined points into the formula:
[tex]\implies \textsf{Slope}=\dfrac{-4-7}{-3-5}=\dfrac{-11}{-8}=\dfrac{11}{8}[/tex]
Therefore, the slope of (5, 7) and (-3, -4) is 11/8.
