how long is the line if the points are: -7,-4 and 3,-6

Answer 1

To find the length of a line segment given the coordinates of its endpoints, we can use the distance formula.

The distance formula is √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Using the given coordinates: (-7, -4) and (3, -6), we can substitute these values into the distance formula.

√((3 - (-7))^2 + (-6 - (-4))^2)
Simplifying,
√((3 + 7)^2 + (-6 + 4)^2)
√(10^2 + (-2)^2)
√(100 + 4)
√104

The length of the line is therefore √104 or approximately 10.2 units.