Question

Hellllo, I need some help with Math. Please help. Hellllo, I need some help with Math. Please help. @Mathematics

Answer 1

Here is the file.

Answer 2

Any line can be represented as y = mx + b where m is the slope and b is the y-intercept (where x = 0).

You are given two points. Slope is "change in y" divided by "change in x".
Calculate slope using that formula given the two points.

Answer 3

I found the slope to be 2/3 How do you place it in standard form?

Answer 4

Once you find slope. Find B by substituting one of the points into the y=mx+b equation.

Answer 5

"b" I mean. Not B.

Answer 6

Ok so here it is

y=2/3 x + 4

Answer 7

y - 3 = 2/3(x+2)

simplify that

Answer 8

Cool! Then, you simply multiple 3 through.
You get 3y = 2x + 12.

Answer 9

I need it in Ax+By=C form

Answer 10

multiply. not multiple.

Answer 11

Sure. If 3y = 2x + 12, you can re-write it as 2x - 3y = -12.

Answer 12

I need it in Standard form

Answer 13

Just a bunch of re-arrangement. You did awesome hard part in getting the equation right in the first place. Impressive!

Answer 14

Thanks a lot man. I really appreciate that. I have had some trouble with this problem, and I had posted it before, but no one was able to help me. Here is the question:


Input in standard form the equation of the given line.The line that passes through (-2, 4) and is parallel to x - 2 y = 6

Answer 15

Do you think you can help me?

Answer 16

Yes. Step at a time.

Answer 17

Yeah that is good.

Answer 18

First convert to y=mx+b form. Makes life easy. You can re-arrange at the end.

Answer 19

x-2y=6 written in y=mx+b form is?

Answer 20

2y=-x+6

Answer 21

I don't think that is right.

Answer 22

It is mostly there...now take 2 to the other side and divide.

Answer 23

y=1/2x+3

Answer 24

x - 2y = 6
=> - 2y = -x + 6
=> y = 1/2x - 3

Answer 25

Oh I got the last part wrong.

Answer 26

No worries. Now, we have it in the form of y = mx + b where m is the slope. So, in this case slope is?

Answer 27

I thought I was supposed to be helping you. Who is this other guy? lol

Answer 28

Well you can help me with another lol...

Answer 29

1/2x

Answer 30

Well, slope is 1/2. Not 1/2x.

Answer 31

Oh haha

Answer 32

The problem says the second line is parallel to this one. The one thing about parallel lines is that they all have the sale slope.

So, if the second line is of the form y = mx +b, then it has to be y = 1/2x+b.

Answer 33

Ok I guess that makes sense.

Answer 34

It also says that the second line passes through the point (-2, 4). Plugging in -2 for x and 4 for y, you should be able to find b of the second line and then re-write it in standard form.

Answer 35

Can you speak in English please?

Answer 36

y = 1/2x + b is our second line. This line passes through the point (-2,4).

Answer 37

Point (-2,4) simply means x = -2 and y = 4 at that point.

Answer 38

4y=1/2(-2) *b

Answer 39

4 = 1/2(-2) + b

Answer 40

4=-1+b

Answer 41

Yes. So b=?

Answer 42

Yeah I don't know was the the other one.

Answer 43

b = 4+1 = 5.
So, the line must be y = 1/2x + 5.

Answer 44

In standard form... it is 1/2x-y=5

Answer 45

Hello?

Answer 46

Multiply by 2 through.
2y = x + 10
x - 2y = -10

Answer 47

Sorry, your way is fine too. Just more clean when there are no fractions involved.

Answer 48

Oh yeah I forgot about that step.

Answer 49

Yup that is Ok... This one should be easy but I do't think it is.

Input in standard form the equation of the given line.The line with m = 1/2 and b = 3.

Answer 50

We already have the slope and the b

Answer 51

y = mx + b where m = 1/2 and b = 3.

Answer 52

6x+2y=6

Answer 53

2x=2y=6

Answer 54

That is correct right

Answer 55

y = 1/2x + 3
multiplying by 2 through, you get
2y = x + 6
x - 2y = -6