Question

what is the equation of the line slope 5 and y-intercept-2?

Answer 1

y = 5x - 2

Answer 2

do you understand or do you want me to explain this?

Answer 3

please explain my choices are a. 5x+y=2 b. 2x-y=5 c. 5x-y=2 d. 2x+y-5

Answer 4

so they want it in standard form

Answer 5

it would be C

Answer 6

y = 5x - 2
x needs to be in the beginning so cancel out y
5x - y = 2

Answer 7

Standard form Ax - By = C

Answer 8

So, when you do this, you need to change the sign of 5x because its going over the equal sign. Corret? so over all once you get, y=mx+-B you just subtract y.

Answer 9

yes

Answer 10

and this cause -2 to become 2

Answer 11

The equal sign always needs to go at the end? Or is this just because of the answer choices

Answer 12

always, it's just like a two-step equation

Answer 13

Can I ask you to do another question? Explaining it step by step?

Answer 14

Which is an equation of the line with slope -2/3 passing through the point (-10,0)?

Answer 15

ok so that equation would start like y = mx + b

Answer 16

m is your slope. You know your slope is -2/3 so plug that in

Answer 17

Yes, I just have trouble with the B

Answer 18

b = 0 so just put nothing, (-10,0) the y - intercept = 0

Answer 19

So, the Y in your coordinate is always B?

Answer 20

yes b = y-intercept

Answer 21

Ok, what would be the answer? If i plug it in, it's not one of my answer choices

Answer 22

what are the answer choices

Answer 23

A. Y= -2/3x -10
B. 2x+3y = 10
C. Y= +10 = -2x
D. Y= -2/3x - 20/3

Answer 24

B

Answer 25

Ok, so the numerator is always x?

Answer 26

No, here wait let me explain more

Answer 27

in standard form x always has to be positive and it has to be rational.

So

-2/3x + y = 10 is unacceptable

you must cancel out the fraction by doing 3/1 times -2/3, canceling out the 3 and leaving the 2 behind

What you do to x you must do to y

So y times 3 is 3y

Answer 28

Leaving it 2x + 3y = 10

Answer 29

-2/3x + y =10?

Answer 30

yes, standard form is Ax + By = C

Our first equation was y = -2/3x

x must be in the beginning to move the -2/3x to the front and add + y

Answer 31

I'm only in 8th grade, I have no idea what this all means, I understand the Standard Form, but "x must be in the beginning to move the -2/3x to the front and add + y" I have no clue on.

Answer 32

So you understand Standard Form, you know which ever number (rational or irrational) that has the variable "x" must be in the beginning

Answer 33

Standard form = No Fractions or Mixed number's, Correct?

Answer 34

Yes, and which ever number holds the variable "x" it MUST be positive

Answer 35

So "x" must be rational and positive

Answer 36

"y" doesn't have too

Answer 37

So, Y= -2/3, would be 2x+3y = 0? Because 0 is the Y Intercept

Answer 38

no the constant is on the other side of the equal sign, not the y - intercept

Answer 39

Constant? -1 - (-100) and 1-100? All even and positive number's? That probably something stupid to know, its just tomorrow I have a test on this but without the answer choices.

Answer 40

to ask, not to know

Answer 41

a constant is any number that does not hold a variable

Answer 42

2x is not a constant but -46 is

Answer 43

Only negatives?

Answer 44

so 10 in our case is our constant

Answer 45

no

Answer 46

just any number without a variable

Answer 47

Oh, I remeber now.
So it's Ax + By = C, x MUST be positive, so its 2x + 3y = -10, the 3y comes from the denominator, correct?

Answer 48

2x + 3y = 10, its positive during the switch

You get 3y because you multiplied -2/3 by 3, and you must do the same to the "y". Remember, the "y" was by itself and didn't have any number attached, but 3 times y makes it 3y

Answer 49

So if it's -3/7 it would be, 3x +7y = 10?

Answer 50

Yes, you understand it's because you multiplied 7 right?

Answer 51

It's very simple when "y" is by itself, but most of the time "y" won't be by itself

Answer 52

Try doing 5/8x + 2y = 10 by yourself

Answer 53

I'm here if you need help

Answer 54

So like, when Y not going to be by itself? Or would this be above 8th grade? (Algebra 1)

Answer 55

I'm in 8th grade Algebra 1 and 9/10 times y is not by itself

Answer 56

idk if your teacher is different but it's better if you understand also when y is not by itself

Answer 57

you will be better prepared for the EOC (or whatever test you take in your state. I lie in Florida and we take the EOC)

Answer 58

live in Florida**

Answer 59

EOG, End of Grade
So, 9/10y? or 9/10*y

Answer 60

I'm going to try one, Slope: -6, (-2,4)
would y= -6x + 4 be Correct?

Answer 61

yes

Answer 62

If you don't understand anything else search "Khan Academy" on google, they have GREAT videos that go in great detail in basically everything that makes up Algebra 1

Answer 63

I myself must use the website sometimes

Answer 64

I have to go now, but if I were you I would really consider staying up a little later or waking up earlier tomorrow and looking up "Khan Academy" to study for your test

Answer 65

Thank you, :)