Answer:
[tex] m =\dfrac{-5}{7}[/tex]
Step-by-step explanation:
Given :-
- Two points (-2,11) and (5,6) .
And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,
[tex]\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}[/tex]
- Here the two points are (-2,11) and (5,6) .So put on the respective values ,
[tex]\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7} [/tex]
Hence the slope of the line is -5/7 .
