Final answer:
The distance between (-6,4) and (-8,6) is approximately 2.83 units.
Step-by-step explanation:
The distance between (-6,4) and (-8,6) can be found using the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values from the given points:
distance = sqrt((-8 - (-6))^2 + (6 - 4)^2) = sqrt((-2)^2 + 2^2) = sqrt(4 + 4) = sqrt(8) ≈ 2.83