Question

x+2y=4
How would i solve that and put it on a graph?

Answer 1

Isolate y first.

Answer 2

So it would be in the form y=mx + b, where m is the slope and b is the y-intercept, aka where the line hits the y-axis.

Answer 3

so i would x+2y=4
-x -x
2y=4-x?

Answer 4

No, you can't have any number in front of the y.

Answer 5

Divide everything by 2.

Answer 6

so /2
from y?

Answer 7

so x+y=4

Answer 8

no...

Answer 9

You can't just divide one side by 2, because it's no longer equal.

Answer 10

Divide both sides by 2, and leave y isolated.

Answer 11

so x+y=2?

Answer 12

What's 1/2(2y) = 1/2(4-x)?

Answer 13

2=4-x?

Answer 14

What is 1/2 times 2y?

Answer 15

yes

Answer 16

It's y.

Answer 17

So then, what is 1/2*(4-x)?

Answer 18

8-x?

Answer 19

Look at it this way: what is (1/2)*4 -(1/2)*x?

Answer 20

8-2x?

Answer 21

what is 4 divided by 2.

Answer 22

2

Answer 23

what is x divided by 2.

Answer 24

2x

Answer 25

no, that's 2 times x.

Answer 26

what is x divided by 2.

Answer 27

x over 2?

Answer 28

yes.

Answer 29

therefore, 1/2(4-x) is...

Answer 30

2- x over 2

Answer 31

yes. So the complete equation would be y=-(1/2)x + 2. From y = mx + b, we know that the line passes through the point (0, 2) with a slope of -1/2.

Answer 32

You should be able to graph it now.

Answer 33

ok the equation is y=2-x
2

Answer 34

Yes, the equation is y = 2 - x/2, or y = -(1/2)x + 2

Answer 35

thank you

Answer 36

Remember to close the question and give medals if you're done.

Answer 37

ok