Question

PLEASE HELP ME! Explain simply and clearly.

The length of a line segment is 8 units.one end point is p(5,-3). which of these could be the other endpoint of the line segment?


A(-3,-3)

B(-3,-11)

C(5,8)

D(8,-3)

Answer 1

Explanation:

Solution

Distance between two points =

(x 2−x 1) 2+(y 2 −y 1) 2

Given, one point =(2,−3)

Let, other point =(10,b)

absicca is x cordinate

(10−2) 2+(b+3) 2=108 2+(b 2+9+6b)=10

Squaring both sides, we get

64+b

2

+9+6b=100

(b+3)

2

=36

∴ b+3=6 and b+3=−6

∴ b=3 and b=−9

Answer 2

Your answer would be A(-3,-3)

The easiest way to solve this problem would be to graph it. Graph each of the points them count the units or squares between each point. Whichever one is only 8 units is the answer. Hope the image helps.