Algebra 24 - Standard Form

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The standard form of the equation for a line Ax + By = C can describe any line in the Cartesian plane, including vertical lines. The constants A, B and C have no special meaning, but in combination they tell us many things about the line's graph.

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I love this. Math was never so easy. Your videos are amazing. THANK YOU

annamobilio

Hey, what happens if A=0 and B=0? Is that a point in the origin?

FreddieF

Thank you so much for providing these videos. It is helping me a great deal in my algebra class.

martinjames

Nice and simple explanation once again. Thanks for making the life of math worth living!

Groundsquirrel

There is no explanation on A=0 B=0 case. I really want to see a line 0x + 0y = 3. Could you draw it, please?

amaraojiji

Response for Freddie Frillman: If both A and B are zero then the equation becomes 0 = C so C had better be zero as well or the equation will be a contradiction. If C is zero then the equation is just 0 = 0. This statement contains no useful information.

MyWhyU

Functions can only have one output (y) for each input (x). That's why there's no vertical functions, cos an x would have infinite outputs y. Then how come is it possible to have vertical lines in standard form?

torosalvajebcn

you used slope intercept form at 2:29 while you said u were using point slope form. please clarify

hammad

I have a question unrelated to the video. Is .9 repeating decimal equal to 1, or is it something like a irrational number? Lets give the variable x the value of .9 repeating decimal. Say were were to multiply the equation x=.9 repeating decimal on both sides by 10 using multiplication POE. The result is 10x=9.9 repeating decimal, by moving the decimal over. Then, if x is subtracted from both sides, the result is 9x=9 (using substitution POE to replace x with .9 repeating decimal on the right side. I am not sure if you are allowed to do this though.) Then division POE gives you x=1. Why? Does this work with other number systems as well?

skybear

At 24 seconds into Algebra 24-Standard Form lecture I see the common names of the 3 linear equation forms as Slope-intercept form y = mx + b, and Point-Slope form as y-y1= m(x-x1) and Two-Point form (formula omitted). At 40 seconds into lecture, again, this exact information is repeated. BUT at 2minutes 16 seconds into lecture it is(confusing to me) stated that "Point Slope form" now is the formula y = mx + b? The Standard Formula is saying for us to use Slope Intercept form and I think that is a problem for me to figure it out though I've seen it 20 times as a beginner studying this lecture. Any clarification would help me. Thank you.

bossmpm

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