Question

Need help!

A line has a slope of 7 and contains the point (5, −9).

Which equations represent the line?

Choose all answers that are correct.

A.
−7x + y = −44

B.
7x – y = 44

C.
(y − 9) = 7(x + 5)

D.
(y + 9) = 7(x − 5)

Answer 1

@waterineyes

Answer 2

Can you help?

Answer 3

Line with a slope and a point given has equation of :
\[y - y_1 = m(x-x_1)\]

Answer 4

\(m\) is slope and \((x_1,y_1)\) is point given to you..

Answer 5

So that mean C and D are already two of my answers correct?

Answer 6

Means*

Answer 7

yep..

Answer 8

But only one from them..

Answer 9

\(x_1\) = 5 and \(y_1 = 9\).. Also \(m=7\)
Just plug the values in the equation I gave you above..

Answer 10

\(y_1 = -9\).. Sorry..

Answer 11

y-(-9)=7(x-x^1) Right?

Answer 12

@waterineyes

Answer 13

So using that i got C,B and A

Answer 14

\(x_1 = 5\)..

Answer 15

C, B and A as your answers??

Answer 16

ok sorry I'm not the best at math :/

Answer 17

Thats what i got is that not right?

Answer 18

\(y-(-9) = 7(x-5) \implies (y+9) = 7(x-5)\)..

Answer 19

yes, C, B and A are not right, so eliminate that.. One option left..

Answer 20

So D ok

Answer 21

There it is..!! :)

Answer 22

So i know i have D what else can i do?

Answer 23

Oh ok so only D is correct?

Answer 24

Wait..

Answer 25

Misread the question, there can be more answers..

Answer 26

So: you got this:
\(y+9 = 7(x-5)\)

now distribute 7 to the brackets..

Answer 27

\[a(b+c) = ab +ac ----> Distribution \ Property\]

Answer 28

So B?

Answer 29

Great..

Answer 30

Thank's so much could you help on a few more?

Answer 31

you are more intelligent than me.!! :)

Answer 32

Nooo not at all xD

Answer 33

One more to go still..

Answer 34

Can i open up a new question and tag you?

Answer 35

Oh one more huh? Ok 1 sec lemme look

Answer 36

\(7x - y =44\)

Multiply by \(-1\) both the sides..

Answer 37

That'd make it A

Answer 38

Good.. :)

Answer 39

Yay could you help on a couple more?

Answer 40

So, finally, except C, all are correct..!! :P

Answer 41

sure, if you want, you can ask me here too..

Answer 42

You don't want medals?

Answer 43

It's only fair you're helping me and all

Answer 44

No.. One is more than sufficient to me..!! :P

Answer 45

Ok then :D

Answer 46

Which graph is the line y=1/3x-2 ?


A. http://static.k12.com/calms_media/media/1512000_1512500/1512016/1/9f255f75882d03c7a02afaf6975d663b4e199c58/MS_IMC_072914_181101.jpg

B. http://static.k12.com/calms_media/media/1512000_1512500/1512017/1/3d358be170ba6de551f13371d3eda7585e65d19f/MS_IMC_072914_181102.jpg

C. http://static.k12.com/calms_media/media/1512000_1512500/1512018/1/ea86f497d09028848376fd5de0bce69db998adec/MS_IMC_072914_181103.jpg

D. http://static.k12.com/calms_media/media/1512000_1512500/1512019/1/509b88c5111a0985abeb7a8a86181675f5bfd340/MS_IMC_072914_181104.jpg

Answer 47

Do you know what are x and y-intercepts??

Answer 48

Yeah wound i be using rise and run?

Answer 49

Would*

Answer 50

I think, in this question, if you know what is your y-intercept, you are done..

Answer 51

Then i think it would be A

Answer 52

Wait nvm it's B

Answer 53

are their multiple answers to select from?

Answer 54

*there.

Answer 55

And no there arean't it's only one this time

Answer 56

Wait..

Answer 57

And i think it's B because the y intercept is where a line crosses the Y axis right?

Answer 58

Calm down and take deep breath..:P

Answer 59

Lol sorry im kinda in a hurry xD

Answer 60

Really?

Answer 61

What you got for y-intercept?

Answer 62

? elaborate

Answer 63

Then again it could be C

Answer 64

How you came to know line is crossing through 2 but not -2??

Answer 65

I tell you, okay?

Answer 66

Good point...

Answer 67

Ok

Answer 68

y-intercept: It is the point where line cuts the y-axis..

It is found by putting \(x=0\) in your equation..

Answer 69

when you put \(x=0\), what will you get?

Answer 70

A 0 y intercept right?

Answer 71

I mean what value of y, you will get?

Answer 72

\(y = \frac{1}{3}x -2\), put \(x=0\) and find \(y\)..

Answer 73

So it would be y=1/3x-0

Answer 74

Dear, put \(x=0\)..

Answer 75

Oh :/ i apologize

Answer 76

I feel a tad bit slow :/

Answer 77

\[y = \frac{1}{3} \color{red}{x} -2 \implies y = \frac{1}{3} \color{red}{(0)}-2 \implies y = -2\]

Answer 78

we are all learning here, so no need to apologize.. :)

Answer 79

Ohhhhh ok so looking back at my answer choices A seems right

Answer 80

Can I make it a point now : as y-intercept is a point..
\((0,-2)\) implying that when x is 0, is -2.. Getting?

Answer 81

*y

Answer 82

Ok that makes sense

Answer 83

So, y-intercept is : \((0,-2)\)..

x-intercept : It tells you where the line cuts x-axis.
It is found by putting \(y=0\) in your equation..

Answer 84

Can you find value of \(x\), when \(y=0\) ??

Answer 85

Hmm one moment

Answer 86

It would be -2 if im wrong im sorry :/

Answer 87

\[\color{red}{y} = \frac{1}{3} x - 2 \implies \color{red}{0} = \frac{1}{3}x-2\]

Answer 88

Add 2 both the sides,..

Answer 89

Then multiply by 3 both sides to get \(x\)..

Answer 90

Ok so with that equation you just made i would add 2 to both sides then once i get my answer for that i would then multiply correct?

Answer 91

yes..

Answer 92

Firstly add 2 and show me what you got..

Answer 93

2+0=2 2-2=0 1/3x+2

Answer 94

If you have some doubt or difficulty, don't hesitate to tell me..

Answer 95

I have lots of it :/

Answer 96

\[0 = \frac{1}{3}x -2 \\ 0 \color{green}{+2} = \frac{1}{3}x - 2 \color{green}{+2} \\ 2 = \frac{1}{3}x \cancel{-2}\cancel{+2} \\ 2 = \frac{1}{3}x\]

Answer 97

Is it making sense?

Answer 98

Now multiply by \(3\) both sides..