Respuesta :
Answer: [tex]-\frac{7}{11}[/tex]
Step-by-step explanation:
The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.
Sub the values in
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]
Now solve
[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]
- (6,-2)
- (-5,5)
Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]