Final answer:
The distance between the points (4, -2) and (-6, -4) is approximately 10.198.
Step-by-step explanation:
To find the distance between two points on a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem, which states that the distance between two points (x1, y1) and (x2, y2) is equal to the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates.
Using the formula, we can calculate the distance between (4, -2) and (-6, -4) as follows:
distance = sqrt((4 - (-6))^2 + (-2 - (-4))^2)
= sqrt(10^2 + 2^2)
= sqrt(100 + 4)
= sqrt(104)
≈ 10.198
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