Question

Find the missing coordinate if A, B, and C are collinear.

A = (2, 4), B = (0, 1), C = (-2, y)

Answer 1

HINT: If they are collinear then they have the same slope. :)

Answer 2

or, use segment addition postulate

Answer 3

if A, B, C are collinear, then
AB+BC = AC

Answer 4

yes.

Answer 5

O use area theorem in co-ordinate geometry. :D

Answer 6

no idea what that is. sorry!! im only a freshman in high school!

Answer 7

which one u familiar wid ?

Answer 8

The segment addition.

Answer 9

that wont be easy here as it gives us quadratic

Answer 10

quadratic may not be easy to deal wid

Answer 11

@hannahbonana
Do you know how to find slope? :)

Answer 12

yes. y=mx+b

Answer 13

RISE/RUN? :D

Answer 14

yes!! y2-y1/x2-x1:)

Answer 15

Excellent!! :D

Now use that to find the slope from the 2 COMPLETELY GIVEN POINTS!! :D

Answer 16

ok!! so that would be -3/-2! s0 3/2

Answer 17

Yes so m = 3/2 now take any two points B = (0, 1), C = (-2, y)

Now even these will have the same slope!! :D
Find BC slope and equate it to 3/2!! :D

Understood? :)

Answer 18

uh...you just lost meeee

Answer 19

Cna you find the slope of point BC ?

Answer 20

it would be y-1/-2

Answer 21

Or 1-y/2

Now they are collinear right?
So the same line has the same slope!! :D

1-y/2 = 3/2

Understood? :)

Answer 22

yes..sort of. so that would be..Y=2!!

Answer 23

-2 ? :)

Answer 24

yes! -y=2 so yes.

Answer 25

Understood it? :)

Answer 26

YES. THANKS!!!!!

Answer 27

:)

Answer 28

;D