Final answer:
The distance between two points in the Cartesian plane can be found using the distance formula. Using the formula, we find that the distance between (0,-4) and (-3,-1) is approximately 4.24 units.
Step-by-step explanation:
To find the distance between two points in the Cartesian plane, you can use the distance formula:
Distance = √(difference in x-coordinates)^2 + (difference in y-coordinates)^2
Using the coordinates (0,-4) and (-3,-1), we have a difference of 3 in the x-coordinates and 3 in the y-coordinates. Plugging these values into the formula:
Distance = √(3)^2 + (3)^2 = √9 + 9 = √18 ≈ 4.24
So, the distance between the two points is approximately 4.24 units.