Question

Which of the following equations describes the line shown below? Check all that apply. (-5.-6) (1,6)

Answer 1

A. y=2x+2
B. y=2x+4
C. y-6=2(x-1)
D. y-6=2(x-5)
E. y+6=2(x+5)
F. y+6=2(x+1)

Answer 2

@jcpd910 Help

Answer 3

I can help in about twenty minutes k?

Answer 4

k

Answer 5

@jcpd910

Answer 6

Mk let's go

Answer 7

Remember, these are your two points right?
(-5,-6) (1,6)

Answer 8

yea

Answer 9

And the points are written like this:
(x,y) remember?

Answer 10

kinda

Answer 11

Okay, so you can do two things:
Replace x with -5 in every equation and see if it comes out true
Or you can convert this into an equation after calculating the slope

Answer 12

Calculating the slope is much faster.

Answer 13

So, which do you want to do?

Answer 14

calculating the slope

Answer 15

Okay, so the slope formula is:

\[m = \frac{ y _{1} - y _{2} }{ x _{1}-x _{2} }\]

Based on the points you are given:
(-5,-6) (1,6)
\[x _{1} = -5, x _{2} = 1, y _{1} = -6, y _{2} = 6\]

Answer 16

So plug in those values.

Answer 17

ummmm

Answer 18

Tell me what y1 is, I just wrote it out.

Answer 19

y=-6

Answer 20

y1 = -6, we have two y values so we put y1 and y2 so we know which is which.

Answer 21

So we sub the values in like this:
\[m = \frac{ y _{1} - y _{2} }{ x _{1}-x _{2} }\]
\[x _{1} = -5, x _{2} = 1, y _{1} = -6, y _{2} = 6\]
\[m = \frac{ -6 - 6 }{ -5-1 }\]

Answer 22

See?

Answer 23

so what would the answer be

Answer 24

Well what's -6 -6 and what is -5 - 1?

Answer 25

???

Answer 26

x1=-5 x2=1 y1=-6 y2=6

Answer 27

Great, but what is:
-6 - 6 =
-5 - 1 =

Answer 28

Eric?

Answer 29

idk

Answer 30

Okay, what is 0 - 6

Answer 31

0-6=-6

Answer 32

So what is -6 - 6?

Answer 33

0

Answer 34

no...

Answer 35

jus playin -12

Answer 36

lol k

Answer 37

so what is -5 - 1?

Answer 38

-6

Answer 39

Yup! okay, so now we have:
\[m = \frac{ -12 }{ -6 }\]

Answer 40

Remember, when you divide a negative by a negative, the result is positive. So if -4 / -2 = 2, what does -12 / -6 =?

Answer 41

6

Answer 42

Now, what is 12 / 6?

Answer 43

2

Answer 44

so -12 / -6?

Answer 45

2

Answer 46

right, so we have our slope.
\[m = 2\]

Answer 47

Now we can put that into point-slope form:

y = mx + b

Answer 48

y = 2x + b

Answer 49

but we need to solve for b now.

Answer 50

k

Answer 51

So we use the points we're given:
(-5.-6) (1,6)
And the slope, 2, to find our y intercept.

x = -5 y = -6
x = -4 y = -4
x = -3 y = -2
x = -2 y = 0
x = -1 y = 2
x = 0 y = 4
x = 1 y = 6

Answer 52

When x = 0, you have your y intercept. Which one is our y intercept for this line?

Answer 53

0

Answer 54

x = 0, y = ???

Answer 55

4

Answer 56

right, so let me draw it out so you understand.

Answer 57

so now we have:
y = mx + b
y = 2x + 4

Answer 58

yeaa

Answer 59

Which automatically means b is right, but we can check the others.

Answer 60

y-6=2(x-1)
y = 2(x - 1) + 6

We already know this is wrong, because b = the y intercept, and right now b = 6. Our y intercept is 4.

Answer 61

y - 6 = 2(x-5)
y = 2(x - 5) + 6
Wrong

Answer 62

And the last two will have -6 as slopes, which is still wrong. The only correct answer is B. :D

Answer 63

thank you so much 4 da help @jcpd910