Question

Use the image to answer the 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 left parenthesis negative 2 comma negative 1 right parenthesis, and at left parenthesis 2 comma 4 right parenthesis. 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.

A. 6:40

B. 9

C. 41

D. 5.57

Answer 1

To find the length between the two points, we need to calculate the distance using the Pythagorean Theorem. The formula for the distance between two points on a coordinate plane is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using the given points (-2, -1) and (2, 4), we can plug in the coordinates into the formula:

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

Rounded to the nearest hundredth, the length between the two points is approximately 6.40.

Therefore, the correct answer is A. 6.40.