Answer: m = [tex]\frac{-1}{11}[/tex]
Step-by-step explanation:
The slope of a line is calculated by :
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1}[/tex] = 5
[tex]x_{2}[/tex] = -6
[tex]y_{1}[/tex] = -5
[tex]y_{2}[/tex] = -4
substituting the values , we have :
m = [tex]\frac{-4-(-5)}{-6-5}[/tex]
m = [tex]\frac{-4+5}{-11}[/tex]
Therefore :
slope = [tex]\frac{-1}{11}[/tex]