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

9
9

5.57
5.57

41
41

6:40
6:40
Skip to navigation

Answer 1

To find the distance between two points on a graph, we can use the Pythagorean theorem.

The two points given are (-2, -1) and (2, 4).

To find the length between these two points, we need to find the horizontal and vertical distances between them.

The horizontal distance is the difference in x-coordinates: 2 - (-2) = 4.

The vertical distance is the difference in y-coordinates: 4 - (-1) = 5.

Using the Pythagorean theorem, we can find the length between the two points:

length = sqrt((horizontal distance)^2 + (vertical distance)^2)
= sqrt(4^2 + 5^2)
= sqrt(16 + 25)
= sqrt(41)

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