Question

Which of the following statements best describes the graph of x + y = 2?

It is a line which intersects the x axis at (2, 2).

It is a line which intersects the y axis at (2, 2).

It is a line joining the points whose x and y coordinates add up to 2.

It is a line joining the points whose x and y coordinates add up to 4.

Answer 1

@agent0smith I think it's C. @ganeshi8 @ranga @ehuman

Answer 2

read answer 3 carefully

Answer 3

Well, I dont think it's A or B...since x = 1 and y=1

Answer 4

^that's not a reason to eliminate A and B.

It is a line which intersects the x axis at (2, 2).

It is a line which intersects the y axis at (2, 2).

Think about how the coordinates of an x or y intercept look.

Answer 5

Tell me the y intercept of y = x - 5, as a coordinate.

Answer 6

-5.

Answer 7

That's not a coordinate.

Answer 8

(0,5)?

Answer 9

Well you lost the negative sign but close enough. Now look at A and B and see what's wrong with those supposed "intercepts"

Answer 10

Oh, so I have to put it in slope-intercept form.

y = -x + 2

So the line is negative. Has a y- and x- intercept of 2. It intersects the y-axis at (2, 2), so it's B.

Answer 11

Reread what we just went over.

Answer 12

Any y intercept has to be of the form (0, y) because... the y intercept is when x is zero.

Any x intercept has to be of the form (x, 0) because... the x intercept is when y is zero.

An x or y intercept can NEVER be (2, 2). Why? See the above two lines.

Answer 13

y = -x + 2

So the line is negative. Has a y- and x- intercept of 2. It intersects the y-axis at (2, 2),

see if you can now find your mistake

Answer 14

The y intercept is y=2

The x intercept is x=2

Write both as coordinates. Neither is (2, 2)

Answer 15

So...omg. i cant do this. um...i dont want to guess.

Answer 16

Use this:

Any y intercept has to be of the form (0, y) because... the y intercept is when x is zero.

Any x intercept has to be of the form (x, 0) because... the x intercept is when y is zero.

And this:

The y intercept is y=2

The x intercept is x=2

Answer 17

agentsmith has successfully made you think. ☺
has he help you to eliminate the wrong answers yet?

Answer 18

I am guesing its D?

Answer 19

You clearly are guessing :P

The y intercept is y=2... this means it has a coordinate (0, 2)

The x intercept is x=2, so its coordinate is (2, 0)

Answer 20

If you had a line with a y-intercept of 4, and an x intercept of 8, tell me the coordinates of the x and y intercepts.

Answer 21

0, 4
8, 0

Answer 22

Oh great i have to gtg.

Answer 23

What if you had a line where the x- and y- intercept was 4?

Answer 24

0, 4
4, 0?

Answer 25

Yes. You said

"So the line is negative. Has a y- and x- intercept of 2. It intersects the y-axis at (2, 2), so it's B."

See the error?

Answer 26

yes...

Answer 27

So which of A and B are possibly correct/incorrect?

It is a line which intersects the x axis at (2, 2).

It is a line which intersects the y axis at (2, 2).

Answer 28

a.

Answer 29

Any y intercept has to be of the form (0, y)

Any x intercept has to be of the form (x, 0)

Answer 30

you can't intersect the y axis at any other x than x=0
you can't intersect the x axis at any other y than y=0

Answer 31

It is a line which intersects the x axis at (2, 2).

It is a line which intersects the y axis at (2, 2).

Answer 32

you can't intersect any axis at (2,2)

Answer 33

Okay so its not a or b?
I know its not D.

Answer 34

Well, I have to go sorry.

Answer 35

examine C carefully

Answer 36

You should be 100% sure by now whether a and b are possible or not. This should tell you:

ANY y intercept has to be of the form (0, y)

ANY x intercept has to be of the form (x, 0)

Answer 37

(I think you shook his confidense)

Answer 38

Well you eliminated A, B, and D right?