Question

A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Unlabeled data points marked are at (-2,-1), and at (2, 4). A straight line joins the two lines with a positive slope.

Apply the pythagorean theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.

Answer 1

To find the length between the two points, we can use the Pythagorean theorem formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) = (-2, -1) and (x2, y2) = (2, 4).

Plugging in the values:

d = √((2 - (-2))^2 + (4 - (-1))^2)
d = √((2 + 2)^2 + (4 + 1)^2)
d = √(4^2 + 5^2)
d = √(16 + 25)
d = √41

Therefore, the length between the two points is approximately 6.40 units.