find the length of a line segment with endpoints (4, -3) and (-2, -1)
The general formula is
Length = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
In your case, that is
sqrt [(-6)^2 + (-2)^2]= ...?
To find the length of a line segment with endpoints (x1, y1) and (x2, y2), you can use the distance formula. The distance formula is the square root of the sum of the squares of the differences in x-coordinates and y-coordinates.
In this case, the endpoints are (4, -3) and (-2, -1), which means x1 = 4, y1 = -3, x2 = -2, and y2 = -1.
Using the distance formula, we have:
Length = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Substituting the values we have:
Length = sqrt[(-2 - 4)^2 + (-1 - (-3))^2]
Simplifying:
Length = sqrt[(-6)^2 + (2)^2]
Length = sqrt[36 + 4]
Length = sqrt(40)
Taking the square root:
Length = 2 * sqrt(10)
Therefore, the length of the line segment with endpoints (4, -3) and (-2, -1) is 2 * sqrt(10) units.