Well, let's divide this question into two parts: finding the x-coordinate and the y-coordinate of the point.
First, let's find the x-coordinate. The ratio 2:3 means that the point is two parts of the way from (-5,-4) to (6,-2).
So, the total distance in the x-direction is 6 - (-5) = 11. Two parts of this distance would be (2/5) * 11 = 4.4.
Starting from -5, adding 4.4 would give us -5 + 4.4 = -0.6. Therefore, the x-coordinate is approximately -0.6.
Now, let's move on to finding the y-coordinate. Again, the ratio 2:3 means that the point is two parts of the way from -4 to -2.
The total difference in the y-direction is -2 - (-4) = 2. Two parts of this distance would be (2/5) * 2 = 0.8.
Starting from -4, adding 0.8 gives us -4 + 0.8 = -3.2. Therefore, the y-coordinate is approximately -3.2.
Putting it all together, the point that divides the segment from (-5,-4) to (6,-2) in a 2:3 ratio is approximately (-0.6, -3.2).
Now, that wasn't too dividing, was it?