Can someone please explain "standard form" for me? I never learned it even though I was supposed to- my teacher told me: Ax+By=C. What does it solve? What am I supposed to do with it? Explain anything you can please xx
It's another way of writing the equation of a line. It's not particularly useful, but if your teacher tells you to write the equation of a line in standard form, just rearrange terms until you get it in standard form.
Can you show me an example? (step by step) *It's you again! xD haha*
So, an example: y=2x+3. Subtracting 2x gives you y-2x=3. That is in the form of Ax+By=C.
Can be written as -2x+y=3. Same thing.
Soo it's just like y=mx+b (a way to write a linear equation). Is there a way I can graph through standard form? Is there a certain use to it?
Actually, no. I was wrong. Supposedly the coefficient of the x-term must be positive. SO in my last example, make x positive by multiplying each term by (-1). Thus, (-1)(-2x) is now 2x, (-1)(y) is now -y, and (-1)(3) is -3. So, together: 2x-y=-3 is the right answer.
Why does the x have to be positive?
No, no way to use it. It's stupid. Just turn equations into that when necessary. I have no idea. Just know how to get that form, and do it if the teacher asks you to.
So the x always has to be positive, the others don't matter?
Also, my teacher said that A, B and C always have to be integers (whole numbers)? What's the deal with that?
Yeah. Also, fractions are not allowed in this form. If you hae a fraction, just multiply each term by the reciprocal. That's what integers are- whole numbers (any number that's not a fraction). So if there's (1/2)(x), multiply everything by 2 (the reciprocal of 1/2). This makes x be (1)(x), and 1 is a whole number.
So the x always has to be positive, the others don't matter?
Sorry didn't mean to type that.
Okay so basically all I have to know is: reorder it to Ax+By=C, NO fractions, and x must be positive? And that this has no use?
Other than to make the equation look pretty? No. And yes, that's all you have to know.
Here's more info: http://www.mathwarehouse.com/algebra/linear_equation/standard-form-equation-of-a-line.php
They say it's useful when graphing, but slope-intercept works just as well, in my opinion.
How is it useful when graphing?
Okay so basically all I have to know is: reorder it to Ax+By=C, NO fractions, and x must be positive? And that this has no use?
It isn't. Use slope-intercept form almost every time (except when it's necessary to use point-slope form).
Ugh sorry my computer does that.
Can you see if I answered that right?
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