Is there a character limit to comments??

Question

igreen · Answer

I'm trying to post a tutorial, but it's pretty long, and when I paste it it leaves out stuff..at first I thought it was the LaTeX, but when I removed it, it still did the same thing.

igreen · Answer

Here it is:

igreen · Answer

Someone else try to post it..I wanna see if it'll mess up on other people's computers too.

anonymous · Answer

$\huge\bf Types~of~Slope:$

$\bf\small Positive~Slope:$

Positive slope rises from LEFT to RIGHT.

Example:

|dw:1415020076044:dw|

$\bf\small Negative~Slope:$

Negative slope declines from LEFT to RIGHT.

Example:

|dw:1415020134134:dw|

$\bf\small No~	Slope:$

Lines with no slope are horizontal, and parallel to the x-axis.

Example:

|dw:1415020208688:dw|

$\bf\small Undefined~Slope:$

Lines with undefined slope are vertical, and parallel to the y-axis.

Example:

|dw:1415020282978:dw|

$\huge\bf Finding~Slope:$

There are 3 different ways to find slope.

$\bf Equations:$

Some equations just give you the slope, for example:

$\bf\small Slope-intercept~form:$

$y = \color{lime}mx + \color{blue}b$

Where $\color{lime}m$ = slope, and $\color{blue}b$ = y-intercept.

So if we have:

$y = \color{lime}2x + \color{blue}5$

Our slope will be $\color{lime}2$.

$\bf\small Point-Slope~form:$

$y - \color{blue}{y_1} = \color{lime}{m}(x -\color{yellow}{ x_1})$

Where $\color{lime}m$ = slope, $\color{blue}{y_1}$ = y-value on the line, and $\color{yellow}{x_1}$ = x-value on the line.

So if we have:

$y - \color{blue}5 = \color{lime}5(x - \color{red}2)$

Our slope will be $\color{blue}5$.

But some equations like:

$\bf\small Standard~form:$

$Ax + By = C$

To find the slope of the equation, we have to rearrange it into slope-intercept form($y = \color{lime}mx + \color{blue}b$).

So if we have:

$2x + 3y = 6$

First, we subtract 2x to both sides:

$3y = -2x + 6$

Now we divide 3 to all terms:

$y = \color{lime}{-\dfrac{2}{3}}x + \color{blue}2$

Now we can see that the slope of the equation is $\color{lime}{-\dfrac{2}{3}}$, and the y-intercept is $\color{blue}2$.

$\bf Graph:$

Slope is also defined as: $\dfrac{Rise}{Run}$. We can see this on graphs of lines.

Rise:

Rise represents the numerator of the slope(ex: In $m = \dfrac{1}{2}$ 1 is the rise).

Rise can be either going up or down, where up brings a positive number and down brings a negative.

Run:

Run represents the denominator of the slope(ex: In $m = -\dfrac{4}{5}$ -5 is the run).

Graph example:

|dw:1415019479723:dw|

We can see that the rise here is $2$, and the run is $1$, that means the slope will be $\dfrac{2}{1}$ which simplifies to $2$.

$\bf Formula:$

The formula for slope is $m = \dfrac{y_2-y_1}{x_2-x_1}$.

This formula is mostly used to find the slope between two points(ex: (2, 3) and (5, 8)). But it can also be used to find the slope on a graph, where we can just take two points from that graph and plug them in.

If we are given:

$(\color{red}5,\color{lime} 6)$ and $(\color{yellow}8, \color{blue}{12})$
  ^  ^ = $\color{lime}{y_1}$ ^    ^ = $\color{blue}{y_2}$
  | = $\color{red}{x_1}$      | = $\color{yellow}{x_2}$

Plug them into the slope equation:

$m = \dfrac{\color{blue}{y_2}-\color{lime}{y_1}}{\color{yellow}{x_2}-\color{red}{x_1}}$

$m = \dfrac{\color{blue}{12}-\color{lime}6}{\color{yellow}8-\color{red}5}$

Subtract the terms in the numerator and the denominator:

$m = \dfrac{6}{3}$

Simplify by dividing:

$m = 2$

Therefore the slope between $(5, 6)$ and $(8, 12)$ is $\color{red}2$.

igreen · Answer

Yup, it failed ^^

sammixboo · Answer

I dunno.. Sometimes it lets me do 600 characters when posting a question

sammixboo · Answer

$\huge\bf Types~of~Slope:$

$\bf\small Positive~Slope:$

Positive slope rises from LEFT to RIGHT.

Example:

|dw:1415020076044:dw|

$\bf\small Negative~Slope:$

Negative slope declines from LEFT to RIGHT.

Example:

|dw:1415020134134:dw|

$\bf\small No~	Slope:$

Lines with no slope are horizontal, and parallel to the x-axis.

Example:

|dw:1415020208688:dw|

$\bf\small Undefined~Slope:$

Lines with undefined slope are vertical, and parallel to the y-axis.

Example:

|dw:1415020282978:dw|

$\huge\bf Finding~Slope:$

There are 3 different ways to find slope.

$\bf Equations:$

Some equations just give you the slope, for example:

$\bf\small Slope-intercept~form:$

$y = \color{lime}mx + \color{blue}b$

Where $\color{lime}m$ = slope, and $\color{blue}b$ = y-intercept.


So if we have:

$y = \color{lime}2x + \color{blue}5$

Our slope will be $\color{lime}2$.

$\bf\small Point-Slope~form:$

$y - \color{blue}{y_1} = \color{lime}{m}(x -\color{yellow}{ x_1})$

Where $\color{lime}m$ = slope, $\color{blue}{y_1}$ = y-value on the line, and $\color{yellow}{x_1}$ = x-value on the line.

So if we have:

$y - \color{blue}5 = \color{lime}5(x - \color{red}2)$

Our slope will be $\color{blue}5$.

But some equations like:

$\bf\small Standard~form:$

$Ax + By = C$

To find the slope of the equation, we have to rearrange it into slope-intercept form($y = \color{lime}mx + \color{blue}b$).

So if we have:

$2x + 3y = 6$

First, we subtract 2x to both sides:

$3y = -2x + 6$

Now we divide 3 to all terms:

$y = \color{lime}{-\dfrac{2}{3}}x + \color{blue}2$

Now we can see that the slope of the equation is $\color{lime}{-\dfrac{2}{3}}$, and the y-intercept is $\color{blue}2$.

$\bf Graph:$

Slope is also defined as: $\dfrac{Rise}{Run}$. We can see this on graphs of lines.


Rise:

Rise represents the numerator of the slope(ex: In $m = \dfrac{1}{2}$ 1 is the rise).

Rise can be either going up or down, where up brings a positive number and down brings a negative.

Run:

Run represents the denominator of the slope(ex: In $m = -\dfrac{4}{5}$ -5 is the run).

Graph example:

|dw:1415019479723:dw|

We can see that the rise here is $2$, and the run is $1$, that means the slope will be $\dfrac{2}{1}$ which simplifies to $2$.

$\bf Formula:$

The formula for slope is $m = \dfrac{y_2-y_1}{x_2-x_1}$.

This formula is mostly used to find the slope between two points(ex: (2, 3) and (5, 8)). But it can also be used to find the slope on a graph, where we can just take two points from that graph and plug them in.

If we are given:

$(\color{red}5,\color{lime} 6)$ and $(\color{yellow}8, \color{blue}{12})$
  ^  ^ = $\color{lime}{y_1}$ ^    ^ = $\color{blue}{y_2}$
  | = $\color{red}{x_1}$      | = $\color{yellow}{x_2}$

Plug them into the slope equation:

$m = \dfrac{\color{blue}{y_2}-\color{lime}{y_1}}{\color{yellow}{x_2}-\color{red}{x_1}}$

$m = \dfrac{\color{blue}{12}-\color{lime}6}{\color{yellow}8-\color{red}5}$

Subtract the terms in the numerator and the denominator:

$m = \dfrac{6}{3}$

Simplify by dividing:

$m = 2$

Therefore the slope between $(5, 6)$ and $(8, 12)$ is $\color{red}2$.

sammixboo · Answer

Ah the "Types of Slopes' is gone

igreen · Answer

Yep.

anonymous · Answer

you guys suck!!!!!!

igreen · Answer

.........

igreen · Answer

$\bf\small Positive~Slope:$

Positive slope rises from LEFT to RIGHT.

Example:

|dw:1415020076044:dw|

$\bf\small Negative~Slope:$

Negative slope declines from LEFT to RIGHT.

Example:

|dw:1415020134134:dw|

$\bf\small No~	Slope:$

Lines with no slope are horizontal, and parallel to the x-axis.

Example:

|dw:1415020208688:dw|

$\bf\small Undefined~Slope:$

Lines with undefined slope are vertical, and parallel to the y-axis.

Example:

|dw:1415020282978:dw|

There are 3 different ways to find slope.

$\bf Equations:$

Some equations just give you the slope, for example:

$\bf\small Slope-intercept~form:$

$y = \color{lime}mx + \color{blue}b$

Where $\color{lime}m$ = slope, and $\color{blue}b$ = y-intercept.

So if we have:

$y = \color{lime}2x + \color{blue}5$

Our slope will be $\color{lime}2$.

$\bf\small Point-Slope~form:$

$y - \color{blue}{y_1} = \color{lime}{m}(x -\color{yellow}{ x_1})$

Where $\color{lime}m$ = slope, $\color{blue}{y_1}$ = y-value on the line, and $\color{yellow}{x_1}$ = x-value on the line.

So if we have:

$y - \color{blue}5 = \color{lime}5(x - \color{red}2)$

Our slope will be $\color{blue}5$.

But some equations like:

$\bf\small Standard~form:$

$Ax + By = C$

To find the slope of the equation, we have to rearrange it into slope-intercept form($y = \color{lime}mx + \color{blue}b$).

So if we have:

$2x + 3y = 6$

First, we subtract 2x to both sides:

$3y = -2x + 6$

Now we divide 3 to all terms:

$y = \color{lime}{-\dfrac{2}{3}}x + \color{blue}2$

Now we can see that the slope of the equation is $\color{lime}{-\dfrac{2}{3}}$, and the y-intercept is $\color{blue}2$.

$\bf Graph:$

Slope is also defined as: $\dfrac{Rise}{Run}$. We can see this on graphs of lines.

Rise:

Rise represents the numerator of the slope(ex: In $m = \dfrac{1}{2}$ 1 is the rise).

Rise can be either going up or down, where up brings a positive number and down brings a negative.

Run:

Run represents the denominator of the slope(ex: In $m = -\dfrac{4}{5}$ -5 is the run).

Graph example:

|dw:1415019479723:dw|

We can see that the rise here is $2$, and the run is $1$, that means the slope will be $\dfrac{2}{1}$ which simplifies to $2$.

$\bf Formula:$

The formula for slope is $m = \dfrac{y_2-y_1}{x_2-x_1}$.

This formula is mostly used to find the slope between two points(ex: (2, 3) and (5, 8)). But it can also be used to find the slope on a graph, where we can just take two points from that graph and plug them in.

If we are given:

$(\color{red}5,\color{lime} 6)$ and $(\color{yellow}8, \color{blue}{12})$
  ^  ^ = $\color{lime}{y_1}$ ^    ^ = $\color{blue}{y_2}$
  | = $\color{red}{x_1}$      | = $\color{yellow}{x_2}$

Plug them into the slope equation:

$m = \dfrac{\color{blue}{y_2}-\color{lime}{y_1}}{\color{yellow}{x_2}-\color{red}{x_1}}$

$m = \dfrac{\color{blue}{12}-\color{lime}6}{\color{yellow}8-\color{red}5}$

Subtract the terms in the numerator and the denominator:

$m = \dfrac{6}{3}$

Simplify by dividing:

$m = 2$

Therefore the slope between $(5, 6)$ and $(8, 12)$ is $\color{red}2$.

igreen · Answer

And when you try to post the 'Types of Slope' section, it just posts a blank space..

anonymous · Answer

no one ever helps me with my ?'s but u help everyone elses I've tried 4 a week now and no one has answered my ? I thought u guys said u helped everyone but u r helping everyone except me!!!!!!!!!

anonymous · Answer

o already closed my ? so now it's 2 late 2 answer it thanks guys 4 your help your really thoughtful              not.

sammixboo · Answer

$\huge\bf Types~of~Slope:$

$\bf\small Positive~Slope:$

Positive slope rises from LEFT to RIGHT.

$\bf\small Negative~Slope:$

Negative slope declines from LEFT to RIGHT.

$\bf\small No~	Slope:$

Lines with no slope are horizontal, and parallel to the x-axis.

$\bf\small Undefined~Slope:$

Lines with undefined slope are vertical, and parallel to the y-axis.


$\huge\bf Finding~Slope:$

There are 3 different ways to find slope.

$\bf Equations:$

Some equations just give you the slope, for example:

$\bf\small Slope-intercept~form:$

$y = \color{lime}mx + \color{blue}b$

Where $\color{lime}m$ = slope, and $\color{blue}b$ = y-intercept.


So if we have:

$y = \color{lime}2x + \color{blue}5$

Our slope will be $\color{lime}2$.

$\bf\small Point-Slope~form:$

$y - \color{blue}{y_1} = \color{lime}{m}(x -\color{yellow}{ x_1})$

Where $\color{lime}m$ = slope, $\color{blue}{y_1}$ = y-value on the line, and $\color{yellow}{x_1}$ = x-value on the line.

So if we have:

$y - \color{blue}5 = \color{lime}5(x - \color{red}2)$

Our slope will be $\color{blue}5$.

But some equations like:

$\bf\small Standard~form:$

$Ax + By = C$

To find the slope of the equation, we have to rearrange it into slope-intercept form($y = \color{lime}mx + \color{blue}b$).

So if we have:

$2x + 3y = 6$

First, we subtract 2x to both sides:

$3y = -2x + 6$

Now we divide 3 to all terms:

$y = \color{lime}{-\dfrac{2}{3}}x + \color{blue}2$

Now we can see that the slope of the equation is $\color{lime}{-\dfrac{2}{3}}$, and the y-intercept is $\color{blue}2$.

$\bf Graph:$
Slope is also defined as: $\dfrac{Rise}{Run}$. We can see this on graphs of lines.

$\bf Rise:$
Rise represents the numerator of the slope(ex: In $m = \dfrac{1}{2}$ 1 is the rise).

Rise can be either going up or down, where up brings a positive number and down brings a negative.

$\bf Run:$
Run represents the denominator of the slope(ex: In $m = -\dfrac{4}{5}$ -5 is the run).

We can see that the rise here is $2$, and the run is $1$, that means the slope will be $\dfrac{2}{1}$ which simplifies to $2$.

$\bf Formula:$

The formula for slope is $m = \dfrac{y_2-y_1}{x_2-x_1}$.

This formula is mostly used to find the slope between two points(ex: (2, 3) and (5, 8)). But it can also be used to find the slope on a graph, where we can just take two points from that graph and plug them in.

If we are given:

$(\color{red}5,\color{lime} 6)$ and $(\color{yellow}8, \color{blue}{12})$
  ^  ^ = $\color{lime}{y_1}$ ^    ^ = $\color{blue}{y_2}$
  | = $\color{red}{x_1}$      | = $\color{yellow}{x_2}$

Plug them into the slope equation:

$m = \dfrac{\color{blue}{y_2}-\color{lime}{y_1}}{\color{yellow}{x_2}-\color{red}{x_1}}$

$m = \dfrac{\color{blue}{12}-\color{lime}6}{\color{yellow}8-\color{red}5}$

Subtract the terms in the numerator and the denominator:

$m = \dfrac{6}{3}$

Simplify by dividing:

$m = 2$

Therefore the slope between $(5, 6)$ and $(8, 12)$ is $\color{red}2$.

sammixboo · Answer

There we go.. All I did was take out the drawings, because you can't have multiple drawings. I also edited a few things to make it look neater, and not spaced out, since I deleted the drawings

sammixboo · Answer

You might just have to post links of screenshots of the drawings.

opcode · Answer

It is hot that you cannot have multiple drawings, drawings are per thread specific, copying to cross post does not work.

opcode · Answer

|dw:1415031966010:dw| |dw:1415031971926:dw|

sammixboo · Answer

Hmm. I dunno

igreen · Answer

Oh..

igreen · Answer

Thanks! I'll just find links online for the examples

sammixboo · Answer

I can't ever post multiple drawings

opcode · Answer

|dw:1415032035982:dw||dw:1415032040148:dw||dw:1415032043308:dw||dw:1415032046787:dw||dw:1415032050125:dw||dw:1415032055349:dw||dw:1415032059126:dw||dw:1415032061527:dw||dw:1415032064336:dw|