In the coordinate plane, what is the length of the line segment that connects points at (0, −1) and (−7, −2)?

Enter your answer in the box. Round to the nearest hundredth.

1 answer

The length of the line segment can be calculated using the distance formula:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Plugging in the coordinates of the two points:
Distance = √[(-7 - 0)^2 + (-2 - (-1))^2]
Distance = √[(-7)^2 + (-2 + 1)^2]
Distance = √[49 + 1]
Distance = √50
Distance ≈ 7.07

Therefore, the length of the line segment that connects the two points is approximately 7.07 units.