Answer:
-2/3
Step-by-step explanation:
The formula for slope is ![\frac{y1 - y2}{x1 - x2}](https://tex.z-dn.net/?f=%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D)
You have two coordinate points (-6,7) and (0,3)
Pick either point to be (x1, y1) and then the other is (x2, y2)
plugging these values into the slope formula you will get the answer
I decided to pick (-6,7) as (x1, y1) and (0,3) as (x2, y2) so it looks like this when I plug it in:
![\frac{y1 - y2}{x1 - x2} = \frac{7 - 3}{-6 - 0}](https://tex.z-dn.net/?f=%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20%3D%20%5Cfrac%7B7%20-%203%7D%7B-6%20-%200%7D)
simplifying you get the answer:
![\frac{7 - 3}{-6 - 0} = \frac{4}{-6} = \frac{-2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%20-%203%7D%7B-6%20-%200%7D%20%3D%20%5Cfrac%7B4%7D%7B-6%7D%20%20%3D%20%5Cfrac%7B-2%7D%7B3%7D)
So the final answer simplifies to -2/3 and that is the slope of the line