Question

through (3, -9) parallel to 2x+3y=-12

Answer 1

Set function in slope-intercept form, then use the inverse of the slope and the point to get the equation of the new line.

Answer 2

Oops, sorry. You said parallel, so just use the same slope.

Answer 3

i did that and got y=-2/3+4

Answer 4

they want it in Ax+by=c

Answer 5

Just move the term with the x to the same side as the y term.

Answer 6

i am not suppose to even have a fraction as the slope!

Answer 7

@heatzero do you know what the answer is?

Answer 8

@mathlegend
i know i have 4 choices, it's multiple choice

Answer 9

Are all the slopes 2x?

Answer 10

no some are -3y

Answer 11

slope would be the one with the x

Answer 12

its written in standard form

Answer 13

Tell me is one of the answers... 2x+3y=-7

Answer 14

no

Answer 15

ok

Answer 16

I have 2x+3y=-9

Answer 17

Is that even an option?

Answer 18

@rudy, no

Answer 19

@MathLegend no

Answer 20

You said: "i am not suppose to even have a fraction as the slope!"
Why do you say that?
Also, if you write (3,-9) into the equation I gave you, it proves valid, also, it has the same slope as the original, so I'm having trouble accepting I'm wrong.
Not that it's not possible, I just can't find an error.

Answer 21

@rudy a fraction isn't one of the choices

Answer 22

@ rudy, oops my mistake a -9 is one of the choices, however i multiplied everything by 3 to cancel out the fraction and got 21

Answer 23

From an equation in standard form, the formula for the slope is -A/B
Coefficient of x, divided by y coefficient and with negative sign. It is a fraction.

Answer 24

@ rudy to be clearer the choice is: -3x+2y=-9 and that's not parallel

Answer 25

Really sorry. Wife's already in the car. Gotta go. Sorry I can't help further. Good luck!

Answer 26

ok

Answer 27

What answers have 2x in them?

Answer 28

2x+3y =33, 2x+3y=-21

Answer 29

@Hero I apologize for requesting you. However, Rudy and I have tried to help and both of us could not figure this out. I was hoping maybe you could try to help here?

Answer 30

Firstly, it is easier to work with a problem like this if it is in the form y = mx + b, so put it in that form.
Secondly, two lines are parallel if they have the same slope, so the slope of the given line is the same as the slope of the line you're trying to find.
Thirdly, use y = mx + b, to insert the slope and the given point into the line, then solve for b.
Lastly, rewrite the line you need to find in form y = mx + b, then manipulate it back to standard form ax + by = c.

Answer 31

I had got y= 2/3x - 4

Answer 32

I'm pretty sure the slope is negative

Answer 33

y=-2/3x-4

Answer 34

You don't know what the value of b is

Answer 35

for the new line yet.

Answer 36

The b values will not be the same for both lines.

Answer 37

y=-2/3x-4

So I'll change this into the standard form

Answer 38

2x+3y=-21, b was -4

Answer 39

3y=2x-4

Answer 40

-2x+3y=-4

Answer 41

I'm going to verify this b = -4 that you claim

Answer 42

ok

Answer 43

I did something wrong.... My slope is wrong.

Answer 44

Your slope is not wrong, but your b value is wrong

Answer 45

b is not -4 for the NEW line

Answer 46

I keep telling both of you the b value for the new line will not be the same.

Answer 47

I don't know how to find b for this new line. I changed what they gave to slope intercept form.

Answer 48

Let me show you the steps

Answer 49

3 or 2

Answer 50

Firstly, it is easier to work with a problem like this if it is in the form y = mx + b, so put it in that form:

\(y = -\frac{2}{3}x -4\)
Secondly, two lines are parallel if they have the same slope, so the slope of the given line is the same as the slope of the line you're trying to find. We don't know the value of b yet for this line:
\(y = -\frac{2}{3}x + b\)
Thirdly, use y = mx + b, to `insert the slope and the given point into the line, then solve for b`:
\(-9 = -\frac{2}{3}(3) + b
\\-9 = -2 + b
\\-9 + 2 = b
\\-7 = b\)
Lastly, rewrite the line you need to find in form y = mx + b, then manipulate it back to standard form ax + by = c.

\(y = -\frac{2}{3}x - 7\)

\(\frac{2}{3}x + y = -7\)

Answer 51

Any questions?

Answer 52

it's not an option, -7

Answer 53

y=-2/3x-7
multiply both sides by 3

Answer 54

3y=-2x-21
add 2x to both sides

2x+3y= -21

Answer 55

Thank You so much @Hero I never encountered a problem such as this. You are a genius!

Answer 56

@mathllegend thats
the one i picked

Answer 57

Yes, but you did not know how to get the answer..

Answer 58

Good call on multiplying both sides by 3

Answer 59

:)

Answer 60

well i'm gonna close it now, thanks everyone

Answer 61

@MathLegend, I'm not a genius. This is all basic algebra any math major should know.