Question

MEDAL AND FAN AWAREDED!!!!!


Choose the point-slope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope of -3.

y - 6 = -3x - 3
y - 6 = -3(x + 1)
y = -3x + 3
3x + y = 3

Answer 1

The general form looks something like this:

y - y1 = m ( x - x1) where m is the slope of the line and (x1, y1) is a point on the line.

Answer 2

(-1, 6) is your (x1, y1) and your m = -3

So, see if you can fit that information into the general point-slope equation.

Answer 3

can you show me how to do that?

Answer 4

I will if you will try first. @CoinBank77

Answer 5

alright
-3 = (-1 - 6)
is it something like that?

Answer 6

@Directrix

Answer 7

Not quite.

y - y1 = m ( x - x1)

Answer 8

y - y1 = m ( x - x1)

m = -3

Answer 9

y - y1 = -3 * ( x - x1)

@CoinBank77 Into the above equation, see if you can fit the point (-1, 6).

x1 = -1 and y1 = 6

Answer 10

Give it a try, okay?

Answer 11

Alright,
y - y1 = -3 ( x - 6)
am i off in the right direction?

Answer 12

@Directrix

Answer 13

Yes, you are.

Answer 14

y - 6 = -3 ( x - 6)?

Answer 15

Just a second.

Answer 16

No. I led you astray. Sorry. I mixed the x1 with the y1.

y - y1 = -3 ( x - x1)

Think of it this way: y - 6 = -3 ( x - (-1) )

Answer 17

What is the negative of -1 ? We have to clean up this: - (-1)

Answer 18

y - 6 = -3 ( x - (-1) )

y - 6 = -3 ( x + 1) ---> Final Do you agree?

Answer 19

Negative of -1 is a positive 1

Answer 20

@CoinBank77

Of your answer options, which one is correct? Do you see it.

Answer 21

Well from what you've helped me with, it should be:
y - 6 = -3(x + 1)
I filled in the -3 for m, 1 for y, so that's the answer?

Answer 22

We have to leave this in point-slope form so to the best of my thinking, we stop with this option: y - 6 = -3(x + 1) which I think is Option B.

Again, I apologize for getting the x1 mixed with the y1 in my head and then passing that to you.

Answer 23

It's all good, I just submitted the question. It is B!!
Thank you for spending all this time with me, I appreciate it :)!

Answer 24

It would've taken me a much longer time trying to figure it out on my own haha.

Answer 25

You are welcome.