Question

In the figure below, all the points are evenly spaced along the line. What is the coordinate of point L?

Answer 1

@jim_thompson5910 can u pleasse help me with a few questions?

Answer 2

8+x=L
L+x=26
substitute
(8+x)+x=26

x is the same for both expressions because the points are equally spaced
solve for x, then solve for L

Answer 3

uhhh...

Answer 4

the points are evenly spaced, so L is the same distance away from both points B and E

Answer 5

So L is the midpoint of BE

Answer 6

do you see this?

Answer 7

yea

Answer 8

so we can say

(B+E)/2 = L

or basically

take the value of B, add it to E, then divide by 2 to get L

Answer 9

what does that give you?

Answer 10

17

Answer 11

perfect

Answer 12

sweet

Answer 13

can we do number 4 please?

Answer 14

what is the distance from point T to point E

Answer 15

15

Answer 16

good, now what's 2/3 of 15?

Answer 17

10

Answer 18

so the distance from point T to point P is 10 units (since P is 2/3 of the way from T to E)

Answer 19

So just add 10 to the value of T to get your answer

Answer 20

-4

Answer 21

good

Answer 22

thanks, im going to post more, maybe u can help me?

Answer 23

alright go for it

Answer 24

tell me what you get for each

Answer 25

1) true
2) True
3) true
4) true
5) False

Answer 26

did you mean #5 through #9?

Answer 27

and not #1 through #5

Answer 28

yea

Answer 29

how did you get #3 to be true?

Answer 30

cause the line goes through the AM

Answer 31

does it? take a very close look at it

Answer 32

try to rotate it in your mind

Answer 33

better yet, get a piece of paper, label it and try it out

Answer 34

k

Answer 35

ohhhhhh i see its like putting a pencil through a peice of paper

Answer 36

exactly, so do they intersect?

Answer 37

no

Answer 38

are the rest correct?

Answer 39

good

Answer 40

why is the last one false?

Answer 41

idk, i wanted to put true, but something was teling me to put false

Answer 42

do E, D and C all lie on the same line?

Answer 43

yes

Answer 44

so they are collinear by the very definition of collinear

Answer 45

points are collinear if they all lie on the same straight line

Answer 46

Example