Question

Point A, located at (-8, 3), is the location of the storage closet and point C, located at (12, -4), is the director's office. Find point B, the location of the art supplies, if it is 2 over 5 the distance from point A to point C.

Answer 1

@wolf1728 can you help me with this real quick

Answer 2

@Compassionate can you help me please

Answer 3

@whpalmer4 can you help me with this

Answer 4

Point A is (-8,3)
Point C is (12,-4)

Find point B which is 2/5 of the way from A to C.

Okay, this is easy. The x and y coordinates operate in a linear fashion, so the point 2/5 of the way from A to C is gotten by subtracting the x coordinate of A from the x coordinate of C (to get the distance between them), multiplying by 2/5, and adding back to the x coordinate of A. You do the same procedure for the y coordinates.

Answer 5

ok thank you very much

Answer 6

I'll check your answer when you're ready...

Answer 7

is it -8,2.8

Answer 8

@whpalmer4

Answer 9

thank you for your help @whpalmer4

Answer 10

sorry, had some connectivity issues. No, (-8,2.8) is not correct.

Here's a picture

Answer 11

then what is correct cause i did exactly what you said to do and got -8 and 2.8

Answer 12

what is the x coordinate of A?
what is the x coordinate of C?

Answer 13

A is -8
C is 12

Answer 14

Okay. What is the x coordinate of A subtracted from the x coordinate of C?

Answer 15

-20

Answer 16

No. 12 - (-8) =

Answer 17

20

Answer 18

Right. What's 2/5 of that?

Answer 19

8

Answer 20

and 8 plus the x coordinate of A =

Answer 21

0

Answer 22

right. now do that same procedure with the y coordinates

Answer 23

i did it and got -4

Answer 24

if you look at the graph I provided, you should be able to see that we went 2/5 of the way from A (upper left) to C (bottom right) along the x axis

Answer 25

what's the y coordinate of C?
what's the y coordinate of A?

Answer 26

c is -4 and a is 3

Answer 27

and \[-4-3=\]

Answer 28

-7

Answer 29

-7 * 2/5 =

Answer 30

-2.8

Answer 31

well, I prefer -14/5 but no matter. what is 3 + -2.8?

Answer 32

0.2

Answer 33

so the coordinates for B are?

Answer 34

0,.2

Answer 35

And does that point appear on the line drawn on my graph?

By the way, you really need to put a 0 before the decimal point...you're just asking for trouble if you don't. And coordinates are put in parentheses to indicate that they are coordinates, not just numbers.

Answer 36

yes it does gtg bye