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.

(1 point)
Responses

5.57
5.57

41
41

6.40
6.40

9
9
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Answer 1

Distance = sqrt[(2 - (-2))^2 + (4 - (-1))^2] = sqrt[4^2 + 5^2] = sqrt(41) ≈ 6.40.