Question

Determine an equation of the line through the given point is parallel to the given line: (-1,2): 3y+2x=6

Answer 1

What's the slope of the given line?

Answer 2

not sure

Answer 3

Can you quickly solve for y?

Answer 4

3y=6+2x

Answer 5

If you put the equation in the form y=mx + b m will be your slope.

Answer 6

err
y=mx+b

m is the slope.

Answer 7

That's not quite right. It should be
3y=-2x + 6

Answer 8

Now divide by 3.

Answer 9

So y=-2x+2

Answer 10

So y=-2x+2

Answer 11

No.
\[y=\frac{-2}{3}x + 2\]

Answer 12

Go a little slower, you 're making a number of clerical mistakes.

Answer 13

Okay, I understand. Now, isn't there yet another formula to put in the points?

Answer 14

Once you have the slope of the given line you know the slope of your parallel line (parallel lines have the same slope). You can make your new line using the point slope formula:

\[y-y_0 = m(x-x_0)\]
Where m is the slope of your line, and \(x_0,y_0\) are the x and y values of a point on the line.

Answer 15

So m=the -2/3+2

Answer 16

Sorry, i'm horrible at this

Answer 17

y-2=m(x-(-1))

Answer 18

Then y-2=m(x+1)

Answer 19

m = -2/3 Not the +2.

Answer 20

-2/3 is the slope.
y = mx + b
The m is the slope.

Answer 21

So is this right then.....y=-2/3s11

Answer 22

y-2=-2/3(x+1) is correct. Then simplify. into y = something.

Answer 23

Wow, i don't know how else to simplify this

Answer 24

\[y-2 = \frac{-2}{3}(x+1)\]
Add 2 to both sides.
\[y = \frac{-2}{3}(x+1) + 2 \]
Multiply through the -2/3.
\[y = \frac{-2}{3}x -\frac{2}{3} + 2 \]
Combine the non-variable terms.

Answer 25

So y=2?

Answer 26

Okay, i'm seriously horrible at this.

Answer 27

Is there a Algebra for Dummies book out there? I'm sure there is, and it's going to be with my other books.

Answer 28

There's a number of good videos you can watch.

Answer 29

http://www.khanacademy.org/video/simple-equations?playlist=Algebra

Answer 30

Start there and work on some of the more complicated equations too

Answer 31

Well, I need it seriously to finish this class. . Can you help me finish this one please.....

Answer 32

I will certainly do that.

Answer 33

Just bookmarked it.

Answer 34

You should have y = (-2/3)x + 4/3

Answer 35

All the other questions are coming up similar to 3x+y-6=0
They all have 0's at the ends..

Answer 36

That doesn't matter. You can always move things back and forth across the equal sign by adding or subtracting things.

Answer 37

So I could do -2/3x+y+2=0

Answer 38

You can, but there's no need.

Answer 39

thank you very much

Answer 40

Also that would be wrong.

Answer 41

Because you have to add (2/3)x -4/3 to both sides (or subtract y from both sides) to get 0.

Answer 42

Okay, i understand that. Thanks.

Answer 43

You sure are good at this.

Answer 44

You need to review working with equations a bit, and take things slowly, but you'll get there. Math is a practiced skill, not an innate talent.

Answer 45

I know, thanks again.