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
A
41
B
9
C
6:40
D
5.57

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length between the two points using the Pythagorean theorem, we first need to find the distance between the x-coordinates and the distance between the y-coordinates.

The distance between the x-coordinates is 2 - (-2) = 4.
The distance between the y-coordinates is 4 - (-1) = 5.

We can now use the Pythagorean theorem:
c^2 = a^2 + b^2

c^2 = 4^2 + 5^2
c^2 = 16 + 25
c^2 = 41

Taking the square root of both sides, we get:
c = √41

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

The correct answer is C.