Question

Write the equation of the line that is parallel to the line y = −3x + 12 and passes through the point (−1, 6).

y = one thirdx + 7

y = −3x + 3

y = one thirdx + 3

y = −3x + 7

Answer 1

@gypsy1274 I know I have to use the same, y-y1 =m (x-x1) process

Answer 2

Am I right?

Answer 3

The only difference between this one and the last one is the slope.
Perpendicular requires a negative reciprocal.
Parallel has the same slope.

Answer 4

Yes, you are right.

Answer 5

So this one is still Y- (-1) = 1/3 (x-6)?

Answer 6

(x,y)
(-1,6)
Do you see your mistake?

Answer 7

And this question is asking for a parallel line so the slope will be the same as the given line.

Answer 8

Aw poop. I do, I am sorry.

Answer 9

No problem. If at first you don't succeed, try, try again.

Answer 10

Y-6= 1/3 (x - -1)?

Answer 11

Every mistake provides an opportunity to learn.

Answer 12

Almost.
What is the slope of the original equation?

Answer 13

12?

Answer 14

y=mx+b
m=slope

Answer 15

y=-3x+12

Answer 16

So I solve from there? Or...?

Answer 17

Find the correct slope.

Answer 18

What is the slope of the original line?

Answer 19

Wait! I think I seen this problem in an example from the lesson!

Answer 20

I am going to go out on a limb here and say it is Y= -3X =3?

Answer 21

Do you understand how to do the problem?

Answer 22

Getting the correct answer without understanding cheats you of learning.

Answer 23

That was my photographic memory speaking. But not really, so I would really appreciate if you explained.

Answer 24

Start by finding the slope of the original line.
y=-3x+12
y=mx+b
m=slope

Answer 25

I am stumped on how to find the slope, what numbers do I include, and how do I get them?

Answer 26

You do not need to do anything to it, just find it. Re-read the previous post and see if you can figure it out.

Answer 27

What do you think?

Answer 28

So can I add1? seeing that is parallel?

Answer 29

Have you identified the slope of the original equation?

Answer 30

No, not really, slope always gets me. I know the way I need to set it up, but I never know HOW someone gets it. What do they do to get that number.

Answer 31

You don't do anything to it. Just find it. m=slope. m is the coefficient of the x term.

Answer 32

Is it making sense yet?

Answer 33

So the slope is 12, or -3?

Answer 34

I am thinking -3.

Answer 35

The slope is -3.

Answer 36

Ok, so we set it up like y-6 = -3 (x- -1)

Answer 37

A parallel line has the same slope. So plug the point values and the slope in to the point-slope formula.

Answer 38

Ok, so we set it up like y-6 = -3 (x- -1)

Answer 39

Yes. Then solve for y.

Answer 40

Ok, so when we solve for Y, we distribute -3?

Answer 41

yes.

Answer 42

which leaves us with y- 6= -3x -3?

Answer 43

yes. One more step.

Answer 44

We get rid of six? By subtracting on both sides?

Answer 45

Yes.

Answer 46

So then we have y= -3x + 3!

Answer 47

Yes. You got it! \[\Huge \text{(^◡^ )}\]

Answer 48

Yay! ok, I am going to try the next problem myself, then post it here for you to check, if I get it right, then Woo! If not ,then you can explain :D?

Answer 49

Sounds like a great plan.