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
6:40
6:40
41
41
9
9
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Using the Pythagorean Theorem, we can find the length between the two points:
Length = sqrt((Difference in x-coordinates)^2 + (Difference in y-coordinates)^2)
Length = sqrt((2 - (-2))^2 + (4 - (-1))^2)
Length = sqrt((4)^2 + (5)^2)
Length = sqrt(16 + 25)
Length = sqrt(41)
Therefore, the length between the two points is approximately 6.40.