What is the slope of the line passing through the points (-5,9) and (2,-12)

-3

Step-by-step explanation:

To find the slope of a line given two points, we use:

.

Or you could line up the points vertically and subtract the points vertically, then put 2nd difference over 1st difference.

That looks like this:

(  2  ,  -12)

-( -5  ,  9   )

----------------

  7         -21

So the slope is -21/7 which gives you -3.