Final answer:
The slope between the points (4,-9) and (0,-6) is -3/4.
Step-by-step explanation:
To find the slope between two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (4,-9) and (0,-6), we can substitute the values into the formula:
slope = (-6 - (-9)) / (0 - 4)
slope = 3 / -4
slope = -3/4
Therefore, the slope between the points (4,-9) and (0,-6) is -3/4.