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Mathematics 22 Online
Atsie (atsie):

Here's a really really really dumb question. You ready? How does one put an equation like "y = (-⅓)x - 3" into a scientific calculator? I'm just starting to use one seeing as I need to, and there are to many buttons! xD

imqwerty (imqwerty):

so what do you want the calculator to do with this equation?

Atsie (atsie):

I'm trying to figure out slope and whatever. Supposedly you can do that on a scientific calculator?

imqwerty (imqwerty):

umm nope i don't think that a calculator can tell you the slope but theres a really easy way to find the slope! :) are you familiar with the slope intercept form of line?

Atsie (atsie):

I believe so.

imqwerty (imqwerty):

the general slope intercept form of line is given like this- \(\large y= \color{red}m x + \color{red}c\) here \(\color{red}m\) is the slope of the line and \(\color{red}c\) is the y intercept of the line

imqwerty (imqwerty):

so suppose they give you this equation-> y=2x-1 and then they ask you the slope then to find the slope you just have to compare this equation with the slope-intercept form liek this- slope intercept form->\(y= \color{red}m x + c\) our equation-> \(y=\color{red}2x-1\) now here the "2" is analogous to "m" and we know that "m" represents the slope so that implies that "2" in the given equation represents the slope

Atsie (atsie):

Wait, I was taught \[y = mx + b\] What is the "c" ?

OpenStudy (mayankdevnani):

`b` and `c` are the same ! he changed variable thats it !

Atsie (atsie):

I swear everyone else understands this slope nonsense but I never do. It just runs right off my shoulders like rusty water!

imqwerty (imqwerty):

okay make it "c" doesn't makes any difference tho

Atsie (atsie):

Well, I'm reading what you wrote over again. This slope stuff just doesn't get into my head.

imqwerty (imqwerty):

i can explain it in short-> in the equation of this type-> \(y=mx+b\) what ever is in front of x (in this case it is m) is the slope of the line and whatever is written after "mx" (in this case it is +b) is the y intercept

OpenStudy (agent0smith):

For future reference when you need to graph things "y = (-⅓)x - 3" type it in as y = -x/3 - 3 if it looks exactly like that, it's fine. y = -1/3x - 3 will also work correctly, even though the x appears to be in the denominator, it isn't.

TheSmartOne (thesmartone):

\(\Huge\bf y = \color{red}{-\frac{1}{3}}x +\color{blue}{(- 3)}\) \(\Huge \bf y = ~~\color{red}mx ~+\color{blue}{ b}\) Simply put, the number before x is the slope in slope-intercept form. :) Slope is -1/3 (: I changed your equation a bit so you can see why the y-intercept is -3. y = (-1/3)x - 3 is the same thing as y = (-1/3)x + (-3)

TheSmartOne (thesmartone):

And no question is dumb, so keep on asking c:

OpenStudy (baru):

the equation of a line in y intercept form appears this way: \[ \bf y = ~~\color{red}{(some~number)}x ~+\color{blue}{ some ~number}\] example \[ \bf y = ~~\color{red}{3}x ~+\color{blue}{ 9}\\or\\\ y = ~~\color{red}7x ~+\color{blue}{ 8}\] the \(\color{red}{red}\) number which is right next to \(\bf x\) is slope and the \(\color{blue}{blue} \) number is 'y intercept' instead of writing \(\color{red}{some ~number}\) and color coding it, people prefer the short form \(\color{red}{m}\), same with \(\color{blue}{c}\), the letters m and c were chosen at random, so in different books you will find different letters.

Atsie (atsie):

Thank you all so much for putting your input and thoughts. I appreciate your patience with me as I try to learn it! :)

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