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Mathematics 7 Online
TETSXPREME:

help?

TETSXPREME:

1 attachment
MusicGeek:

slope is 8

itsmehjay:

Deal with your parenthesis first then make sure you have your y variable alone on it's own side Then combine like terms - if necessary Make sure it is in slope intercept form: y = mx + b

TETSXPREME:

@itsmehjay wrote:
Deal with your parenthesis first then make sure you have your y variable alone on it's own side Then combine like terms - if necessary Make sure it is in slope intercept form: y = mx + b
I have no idea what that means

TETSXPREME:

What is x?

itsmehjay:

@tetsxpreme wrote:
@itsmehjay wrote:
Deal with your parenthesis first then make sure you have your y variable alone on it's own side Then combine like terms - if necessary Make sure it is in slope intercept form: y = mx + b
I have no idea what that means
Alright let me walk you through this

brianagatica14:

Finding the slope in an equation like this you would have to use the formula y=mx+b

TETSXPREME:

@brianagatica14 wrote:
Finding the slope in an equation like this you would have to use the formula y=mx+b
and how do i do that?

brianagatica14:

You would have to plot in the equation that you have into it.

itsmehjay:

So first things first, you have parenthesis so you need to distribute. y-7=8(x-14) Distribute the 8 to x and -14

TETSXPREME:

so 8x-14?

itsmehjay:

No, what's 8 × -14?

itsmehjay:

You forgot to distribute 8 to -14

itsmehjay:

@tetsxpreme wrote:
What is x?
X is just x. Your looking for your m which is the slope. Y = mx + b

TETSXPREME:

@itsmehjay wrote:
You forgot to distribute 8 to -14
how?

itsmehjay:

You only distributed the 8 to x which is how you got 8x. But remember there are 2 terms inside the parenthesis. Whatever is inside you have to multiply with the # outside of it

itsmehjay:

So 8 x -14 should give you -112 Now your equation should look like this: y - 7 = 8x -112

brianagatica14:

so your equation is y-7 =8(x-14) and the equation you have to use is y=mx+b in the equation you would have to use is the m equals the slope and the b would be the y-intercept. In this case you won't have to solve for anything because the slope is already in your equation. as I said m=slope and the m in your equation is 8 so, you don't have to solve for anything.

TETSXPREME:

How did that just turn into -112?

itsmehjay:

@brianagatica14 wrote:
so your equation is y-7 =8(x-14) and the equation you have to use is y=mx+b in the equation you would have to use is the m equals the slope and the b would be the y-intercept. In this case you won't have to solve for anything because the slope is already in your equation. as I said m=slope and the m in your equation is 8 so, you don't have to solve for anything.
Even if the slope is already there, we want to put it into slope intercept just to make sense

itsmehjay:

@tetsxpreme wrote:
How did that just turn into -112?
8 x -14 = -122

itsmehjay:

-112*

TETSXPREME:

so i do nothing with the x?

itsmehjay:

Nope you'll leave it

TETSXPREME:

so the x is multiplication ?

itsmehjay:

But were not done yet Y has to be by itself so we need to add 7 to -7 to cancel it out Whatever you do to one side you do to the other yada yada yada... And it should look like y=8x-105

itsmehjay:

@tetsxpreme wrote:
so the x is multiplication ?
No it's your variable

TETSXPREME:

but you just times it tho?

itsmehjay:

Times what?

itsmehjay:

You were only multiplying because you were distributing that's how we got 8x and -112

TETSXPREME:

distributing? whats that?

itsmehjay:

Oh my

itsmehjay:

Distributing is when you equally give out the same quantity to each number. For example: I have 3 cookies and I have 6 friends. I distribute the cookie to each friend so that way each person gets the same amount... get it? ;-,

TETSXPREME:

so i cut the cookie in half?

itsmehjay:

Egzaclee

itsmehjay:

You equally give each friend the right amount if cookie

itsmehjay:

Kinda like what we did with the 8. We distributed it to every number inside the parenthesis. When you distribute your multiplying

TETSXPREME:

But the parenthesis if i cut it in half it becomes 7?

itsmehjay:

Where did u get 7?

itsmehjay:

Ok honestly it doesn't matter The slope is literally the number attached to x What number is attached to x???

TETSXPREME:

8?

itsmehjay:

Yes child

TETSXPREME:

but how do we know if its attached to 14? or 8?

itsmehjay:

Your distributing 8 not 14. The number outside the parenthesis is what your "sharing" to every number inside it

itsmehjay:

So your sharing 8 with x and 8 with -14

TETSXPREME:

Oh so no matter what, whatever number is the parenthesis is never distributed?

itsmehjay:

@tetsxpreme wrote:
Oh so no matter what, whatever number is the parenthesis is never distributed?
It gets distributed by the # outside of the ()

xxDeppressionxx:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-7-(8*(x-14))=0 (y - 7) - 8 • (x - 14) = 0 y - 8x + 105 = 0 Solve y-8x+105 = 0 we have here an equation of a straight line. Such an equation is usually written y=mx+b "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis. In this formula : y tells us how far up the line goes x tells us how far along m is the Slope or Gradient i.e. how steep the line is b is the Y-intercept i.e. where the line crosses the Y axis The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-8x+105 = 0 and calculate its properties Notice that when x = 0 the value of y is -105/1 so this line "cuts" the y axis at y=-105.00000 y-intercept = -105/1 = -105.00000 When y = 0 the value of x is 105/8 Our line therefore "cuts" the x axis at x=13.12500 x-intercept = 105/8 = 13.12500 Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -105.000 and for x=2.000, the value of y is -89.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -89.000 - (-105.000) = 16.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN) Slope = 16.000/2.000 = 8.000 The slope is (8)

TETSXPREME:

(y - 7) - 8 • (x - 14) = 0 y - 8x + 105 = 0 So 14-(y-7)-6x=0?

itsmehjay:

What? No the second one is correct but make sure that "-" is a "="

itsmehjay:

But yes your slope would be 8 because it is the number attached to your variable "x" Your slope is also known as m y = m x + b

xxDeppressionxx:

I solved it

itsmehjay:

It was already solved he just got confused

xxDeppressionxx:

Got ya

xxDeppressionxx:

Do you have anymore questions?

xxDeppressionxx:

@tetsxpreme

carmelle:

Nice job answering the question, jay and depp but to simply put it, you could of answered this question without doing any math. In algebra, you need to know your formulas. And this equation was in `point slope form.` \[y - y _{1} ~ = m(x-x _{1})\] you already know that m is the `slope` so what ever the `m-value` is, in the question, would be your slope :)

TETSXPREME:

Thank you so much guys

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