Hi there!
We can find the slope of a line by using the following formula:
[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]
We can use this formula when we have two points given.
Coordinate A(x1, y1) = (-6,2)
Coordinate B(x2, y2) = (5,-1)
Let's substitute this into our formula.
[tex]slope = \frac{ - 1 - 2}{5 - - 6} = \frac{ - 3}{11} = - \frac{3}{11} [/tex]
Hence, the answer is D.
~ Hope this helps you!