Question

PLEASE HELP!! 20 POINTS: One end point of a segment on a graph is located at (4, 5). A second end point is located at (0, 2). Graph these two points on your own paper, then use the Pythagorean Theorem to find the length of the segment. Describe your steps.

Answer 1

5

Explanation:

(graph the points)

first let's find the horizontal distance between the points.

first point is at x = 0, the second point is at x = 4

4 - 0 = 4

next find the vertical distance between.

first is y = 2, second is y = 5

5 - 2 = 3

using these distances we can set up a right triangle with a base of 4 and height of 3 and a hypotenuse that is the distance between the two points.

using pythag. theorem:

4^2 + 3^ 2 = c^2

25 = c^2

c = 5