Question

Which ordered pairs are solutions to the equation?



y = x – 4



A.
(10, 6) and (1, 5)


B.


(10, 4) and (5, 1)


C.
(10, 6) and (5, 1)


D.
(10, 5) and (5, 1)

Answer 1

@StudyGurl14

Answer 2

I would chose C, probably.

Answer 3

can you help

Answer 4

@ganeshie8

Answer 5

(x, y) is an ordered pair so you can input the choises into the equation to see which one works if you want.

Answer 6

i know that but i dont get how with coordinates

Answer 7

You can also graph the line do you know how to do that? The equation is in slope intercept form

Answer 8

can you walk me thru it

Answer 9

Of course!

Answer 10

y = x - 4 is the equation
in slope intercept form (y=mx + b) the b represents the y intercept which is where the line intersects with the y axis

Answer 11

umm i get the x and y axis part

Answer 12

but how do i find it using subtraction with coordinates

Answer 13

Just a second ill be right back

Answer 14

ok

Answer 15

@BlossomCake

Answer 16

When you think about it, it's pretty simple. Just plug in the coordinates to the given equation :)

Answer 17

but the part i dont get is how to subtract 4 from coordinates

Answer 18

ya know?^_^

Answer 19

@bohotness

Answer 20

@NeonStrawsForever

Answer 21

For example, in A. the given coordinates are (10, 6) and (1, 5), so to plug them in you would get:

6 = 10 - 4

How? Because your given equation is y = x - 4, where 10 is x and 6 is y. So, then you can ask yourself is six really equal to 10 - 4, the answer is yes. So then you can plug in (1, 5) to get:

5 = 1 - 4

Again, ask yourself, is 1 - 4 really equal to 5? The answer is no, because 1 - 4 equals -3. So, now we know that option A. is NOT an answer, because both coordinates are not true for the equation, only one of them is.

Answer 22

Now, can you try to plug in the coordinates for B. in (individually) and tell me if they are correct or not?

Answer 23

omg that makes sense one sec

Answer 24

And sorry for the wait!

Answer 25

So, is B. a possible answer? @gigi1103

Answer 26

yes!! am i right

Answer 27

Nope, because, although (5, 1) proves to be true, (10, 4) doesn't. That means it has to be C. or D. Can you figure them out and tell me which one it is?

Answer 28

Also, if you don't understand let me know and we can go over it again :)

Answer 29

ok!!! lemme think

Answer 30

And remember that both coordinates must prove to be true in the equations, not just one.

Answer 31

d!!

Answer 32

Okay, so what did you do to get the answer?

Answer 33

i plugged in both

Answer 34

:)

Answer 35

And were they both true?

Answer 36

Remember that our equation is y = x - 4 and the coordinates are (10, 5) and (5, 1).

Answer 37

yup :)

Answer 38

So, for the first one it would be: 5 = 10 - 4 , is this equation true or false?

Answer 39

How about this one? 1 = 5 - 4

Answer 40

No, the answer is not true, does 10 - 4 = 5 ? No, 10 - 4 = 6

Answer 41

the first ones false

Answer 42

And for 1 = 5 - 4 , well, this one is true because 5 - 4 is 1.

Answer 43

Yep. How about 1 = 5 - 4 ?

Answer 44

and the second ones truw

Answer 45

Good, so does this make D. the right answer or not?

Answer 46

thats true

Answer 47

soo its c

Answer 48

@gigi1103