Question

Determine the length of the line segment from (-6, -5) to (0, 3).

a) 100 units
b) 25 units
c) 10 units
d) 8 units

Answer 1

The length of the line segment from (-6, -5) to (0, 3) is 10 units.

Step-by-step explanation:

The length of a line segment can be found using the distance formula, which is based on the Pythagorean theorem. The distance formula is given by:

d = √((x2 - x1)2 + (y2 - y1)2)

Using the given coordinates (-6, -5) and (0, 3), we can substitute the values into the formula:

d = √((0 - (-6))2 + (3 - (-5))2) = √(62 + 82) = √(36 + 64) = √100 = 10

Therefore, the length of the line segment is 10 units. So, the correct answer is c) 10 units.