Find the slope of the line passing through the points −−9, 9 and −9, 3.

To find the slope of the line passing through the points (-9, 9) and (-9, 3), we can use the formula for slope, which is given by:

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

In this case, the x-coordinate of both points is -9, so there is no change in the x-coordinate. Therefore, the change in x-coordinates is 0.

The y-coordinate of the first point is 9, and the y-coordinate of the second point is 3. So, the change in y-coordinates is 3 - 9 = -6.

Now, we can substitute these values into the slope formula:

slope = (-6) / (0)

However, division by zero is undefined, so the slope of the line passing through these points is undefined.

Therefore, the line is vertical and has no slope.