Find the slope of the line passing through the points (0, -4) and (-6, 7).

slope = (y2 - y1) / (x2 - x1)

To find the slope of a line passing through two points, you can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

Let's apply this formula to the given points (0, -4) and (-6, 7):

Change in y-coordinates = 7 - (-4) = 7 + 4 = 11
Change in x-coordinates = -6 - 0 = -6

Now, substitute these values into the formula:

slope = 11 / -6

The slope of the line passing through the points (0, -4) and (-6, 7) is -11/6.