Question

Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3 over 2x + 5.

y = negative 2 over 3x
y = negative 2 over 3x − 7
y = 3 over 2x
y = 3 over 2x + 7

Answer 1

I explained earlier that your y = 3 over 2x + 5 is not appropriate as the equation of a straight line, and explaind that you must put the 3/2 in parentheses. Please type in the equation of this given straight line, doing it correctly this time.
It must look like y = ( )x+b.

Answer 2

is c

Answer 3

If y ou'd rather not cooperate, that's your decision. I 've asked you several times now to type in the given line properly. Would you do so, please?

"I explained earlier that your y = 3 over 2x + 5 is not appropriate as the equation of a straight line, and explaind that you must put the 3/2 in parentheses. Please type in the equation of this given straight line, doing it correctly this time.
It must look like y = ( )x+b."

Answer 4

The given line is : _____________________________

Answer 5

i dont get it

Answer 6

Your "y = 3 over 2x + 5" is not correct. As explained before, you must show that the slope of this line is (3/2); it is not 3 over 2x.

Please type out the given line.

Answer 7

y = 3/2x + 5.

Answer 8

Would you please enclose the slope 3/2 inside parentheses as I've asked you to do several times.

y = ?

Answer 9

example please

Answer 10

"Your "y = 3 over 2x + 5" is not correct. As explained before, you must show that the slope of this line is (3/2); it is not 3 over 2x." Your slope here is a fraction, and so you'll need to enclose that fraction within parentheses to emphasize the fact that the slope is a fraction.

y = ?

Answer 11

Example: y = (1/3)x + 7. What is the slope?

Answer 12

Your question presents the equation as \[y=\frac{ 3 }{ 2 }x+5.\]

Answer 13

The slope is \[\frac{ 3 }{ 2 }\]

Answer 14

ohhh

Answer 15

If you're not going to use Equation Editor to present the slope properly, then enclose the '3/2" INSIDE PARENTHESES: \[y=\frac{ 3 }{ 2 }x+5~becomes~y=(3/2)x+5.\]

Answer 16

ok

Answer 17

What is the slope of this line?

What is the slope of another line that is parallel to this line?

Answer 18

y = negative 2 over 3x

Answer 19

The answer to my question is: The slope of the given line is (3/2).

Parallel lines have the same slope. So the slope of the new line you want is (3/2) also.

This new line goes through the point (2,3).

Use the point-slope form of the equation of a straight line to determine the equation of this new line.

What does the point-slope formula look like?

Answer 20

ok

Answer 21

It's \[y-y _{1}=m(x-x _{1})\]
Please substitute 3 for y1 and 2 for x1.

What is the slope, m, of this new line? Remember, we've discussed this repeatedly and the slope, m, is given above.

Answer 22

mmm

Answer 23

On the left side of the equation above, you have \[y-y _{1}.\]Rewrite this by substituting 3 for y1.

Please do that now.

Answer 24

is hard

Answer 25

If we do the substitution I asked for, y-y1 becomes y-3. Agree with that?
This is the left side of your equation.

Now, the right side is \[m(x-x _{1}).\]

Answer 26

I ask you to substitute (3/2) (inside parentheses, please) for m and 2 for x1.

Do this now, please.

Answer 27

ok

Answer 28

Good. Write it / type it here.

The right side of your equation is m(x-x1). Replace m with (2/3) and x1 with 2, please.

WRite it out now. type it here. share it with me.

Answer 29

What do you now have for the right side of your equation?

( ? ) [x - ( ? ) ]

Answer 30

jose david?

Answer 31

yes is hard

Answer 32

What do you need to know to be able to do what I'm asking?

I asked you to replace m with (3/2) and replace x1 with 2.

To help you along the way: after you replace m with (3/2), you get

\[=(3/2) (x - [ ~~ ] )\]

Answer 33

please type '2' inside the square brackets.

Answer 34

2

Answer 35

You need to type out the entire right side.
The entire right side of your equation is = (3/2)(x-2). Have you any questions about this?

Answer 36

yes what is the answer

Answer 37

Can't give you the answer, Jose David. I will help you find your own answer.

Your equation is now\[y-3= (3/2) (x-2).\]

Answer 38

is c

Answer 39

This is the answer, but it can be put into simpler form. All of the given possible answers are in simpler form, so you do have to put this into simpler form.


Multiply the left and right sides of your equation by 2.

You get:

\[2(y-3)=3(x-2). \]

Answer 40

how

Answer 41

Multiplying this out, we get 2y-6=3x-6. Please simplify this. (cancel the 6's)

Answer 42

ok

Answer 43

I'm asking you to do something. "ok" lets me know you saw what I typed, but you haven't actually done the work I asked you to do.

Simplify the above equation by subtracting 6 from both sides.

Answer 44

i saw it

Answer 45

subtract 6 from both sides:

2y-6=3x -6

Show me what's left.

Answer 46

2y - 6 = 3x - 6
+6 = +6
--------------

Can you finish this, please? What is -6 + 6?

Answer 47

12

Answer 48

-6 + 6 is actually zero.

+6
-6
-----
0

Please finish this:

2y - 6 = 3x - 6
+6 = +6
--------------

Answer 49

ohh

Answer 50

Please finish that.

-6 + 6 = 0.

What does your final equation look like?

Answer 51

umm

Answer 52

On the left side:

2y - 6
+ 6
---------

2y + 0

2y

Answer 53

any questions about that?

Answer 54

no

Answer 55

On the right side:

3x - 6
+ 6
--------


Finish this, please.

Answer 56

J-D: I need your input.