Final answer:
The distance between the points (6, -4) and (-10, 1) is approximately 16.76 units.
Step-by-step explanation:
To find the distance between two points in a coordinate system, you can use the distance formula which is based on the Pythagorean theorem. The formula is:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of the given points into the formula:
Distance = sqrt((-10 - 6)^2 + (1 - (-4))^2) = sqrt((-16)^2 + (5)^2) = sqrt(256 + 25) = sqrt(281)
Therefore, the distance between the points (6, -4) and (-10, 1) is approximately 16.76 units.