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Given L(-2, 6) and M(-3, 7), what is the length of LM to the nearest thousandths?

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To find the length of LM, we can use the distance formula. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of point L are (-2, 6) and the coordinates of point M are (-3, 7).

Substituting these values into the distance formula:

d = √((-3 - (-2))^2 + (7 - 6)^2)

Simplifying:

d = √((-3 + 2)^2 + (7 - 6)^2)
d = √((-1)^2 + (1)^2)
d = √(1 + 1)
d = √2

So, the length of LM is approximately √2 to the nearest thousandths.
User Ddb
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