(‐4,6) (-6,2)=

The distance between the points (-4, 6) and (-6, 2) can be found using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values, we have:

d = √((-6 - (-4))^2 + (2 - 6)^2)
= √((-6 + 4)^2 + (-4)^2)
= √((-2)^2 + 4^2)
= √(4 + 16)
= √20
≈ 4.47

So, the distance between the points (-4, 6) and (-6, 2) is approximately 4.47.

To find the distance between two points, (-4,6) and (-6,2), you can use the distance formula. The distance formula is given by:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

Using the given points (-4,6) and (-6,2), we can substitute the values into the formula:

d = √[(-6 - (-4))^2 + (2 - 6)^2]

Simplifying the equation, we get:

d = √[(-6 + 4)^2 + (-4)^2]
= √[(-2)^2 + 16]
= √[4 + 16]
= √20

Therefore, the distance between the points (-4,6) and (-6,2) is √20, which can also be simplified as 2√5 or approximately 4.47.

To find the distance between two points, you can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point are (-4, 6), and the coordinates of the second point are (-6, 2).

Substituting the coordinates into the formula:

distance = √((-6 - (-4))^2 + (2 - 6)^2)
= √((-6 + 4)^2 + (-4)^2)
= √((-2)^2 + (-4)^2)
= √(4 + 16)
= √20
≈ 4.47

So, the distance between the points (-4, 6) and (-6, 2) is approximately 4.47 units.