Review linear standard form and how to use it to solve problems.
Log in Lo 7 years agoPosted 7 years ago. Direct link to Lo's post “Doesn't the A in Standard...” Doesn't the A in Standard form need to be positive? • (27 votes) Apple 7 years agoPosted 7 years ago. Direct link to Apple's post “It depends, often definit...” It depends, often definitions care more about the equation arrangement than the value of it, where A,B and C can be any real number. So, as long as you write it in Ax + By = C, it can be called standard form. For the safe side, your teacher probably wants the A to be in positive integer value. As an extra thought, to think about it, you can make an equation of line in many way (infinite way, actually) Say 2x + 3y = 5 If you graph this line, all of this create the same line (same slope and x,y intercept), only in different form of equation. (39 votes) Leilah McIntosh 4 years agoPosted 4 years ago. Direct link to Leilah McIntosh's post “3x-y = -7 or -3x+y = 7 wh...” 3x-y = -7 or -3x+y = 7 which is correct in standard form? • (10 votes) Kim Seidel 4 years agoPosted 4 years ago. Direct link to Kim Seidel's post “Both are acceptable.But,...” Both are acceptable. Elijah Merrill 6 years agoPosted 6 years ago. Direct link to Elijah Merrill's post “So- what do a, b, and c r...” So- what do a, b, and c represent? I'm still confused on that. • (3 votes) David Severin 6 years agoPosted 6 years ago. Direct link to David Severin's post “a, b, and c are variables...” a, b, and c are variables that are "known", so when you are given an equation, you have specific values for a, b, and c. He gives several examples for specific values. x and y continue to variables that are "unknown." So this is the general form of the standard equation of a linear function, Sal notes that they should also be integers. (12 votes) chelsy92 6 years agoPosted 6 years ago. Direct link to chelsy92's post “How do i write the equati...” How do i write the equation of a line in standard form when i am given a word problem? • (6 votes) Kim Seidel 6 years agoPosted 6 years ago. Direct link to Kim Seidel's post “It depends upon what info...” It depends upon what info the problem gives you. You need to read it carefully. Or, did the problem give you a slope (a rate of change) and 1 ordered pair? If this is the case, then you can just do steps 2 and 3 above. Hope this helps. (7 votes) math4matt 6 years agoPosted 6 years ago. Direct link to math4matt's post “I have a question, in the...” I have a question, in the first graph, it shows 2x + 3y = 12. Thanks, • (5 votes) DenaeD a year agoPosted a year ago. Direct link to DenaeD's post “Which ordered pair is a s...” Which ordered pair is a solution of the equation? (Choice A) (Choice B) (Choice C) (Choice D) • (1 vote) Kim Seidel a year agoPosted a year ago. Direct link to Kim Seidel's post “If you really need help, ...” If you really need help, clean up your question so that people can read it. (13 votes) lsager2026 a year agoPosted a year ago. Direct link to lsager2026's post “Im totally lost, where is...” Im totally lost, where is the "If we set x=0x=0x" coming from? is he guessing numbers? • (3 votes) Kim Seidel a year agoPosted a year ago. Direct link to Kim Seidel's post “If you want to find the y...” If you want to find the y-intercept, you would always set x=0 and solve for y, which is what is happening in the example. (7 votes) Rishi 2 years agoPosted 2 years ago. Direct link to Rishi's post “What is general form? Is ...” What is general form? Is it the same as standard form or is it different? • (2 votes) Kim Seidel 2 years agoPosted 2 years ago. Direct link to Kim Seidel's post “Standard form is: Ax+By=...” Standard form is: Ax+By=C Hope this helps. (9 votes) aliciaafinney 4 years agoPosted 4 years ago. Direct link to aliciaafinney's post “Why is it that we can "ge...” Why is it that we can "get rid of" the fraction by multiplying the other terms by its denominator? I guess beyond even that, why is it that when we multiply other terms by the denominator, it "goes away," but the numerator remains as an integer? AND, why is it that the sign of the fraction does not seem to have an impact? For example: y= -1/3x - 9 --> (multiply y and -9 by 3, the denominator,) --> 3y= -x -27 • (4 votes) Kim Seidel 4 years agoPosted 4 years ago. Direct link to Kim Seidel's post “Most commonly, we keep th...” Most commonly, we keep the negative with the numerator rather than saying the denominator is negative. It's just easier. You could multiply by negative 3, but you end up making sign changes, and often can lead to errors. We are allowed to multiply the equation by the denominator because the properties of equality let use multiply the equation by any value as long as we do the entire equation. The result is an equivalent equation to the original one. Hope this helps. (3 votes) zberman21 8 years agoPosted 8 years ago. Direct link to zberman21's post “How do I go from point sl...” How do I go from point slope to standard form • (0 votes) KathyC 8 years agoPosted 8 years ago. Direct link to KathyC's post “Let's say your point slop...” Let's say your point slope equation is: P: Parentheses... you can't simplfiy what's inside the parentheses so move on to... E: Expontents... you don't have any exponents so move on to... MD: You have one multiplication problem 2(x-1) so use the distributive property of multiplication and get 2x - 2 AS: Addition and Subtraction... combine the similar terms. The only ones you have are the constants: Move the "x's" to the right hand side. Rearrange so the x term is in front (10 votes)Want to join the conversation?
You can make it as:
4x + 6y = 10
-2x -3y = -5
16x + 24y = 40
2x/3 + y = 5/3
and many more!
But, some textbooks differ on this subject and specify that the lead term must be positive. So, you should ask your teacher or check your textbook to make sure you pick the right one based on what is expected for your class.
Did it give you what looks like 2 ordered pairs? If yes, then you would:
1) Find the slope using the x & y values from the ordered pairs.
2) Use either slope-intercept form or point-slope form to get your initial equation.
3) Convert your equation to standard form.
Isn't it the other way around?
I tried to see the 2x + 3y in the graph, but it doesn't fit.
Correct me if i'm wrong, but it should be 3x + 2y = 12.
-Math4matt
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−
3
=
5
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−
2
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y−3=5(x−2)y, minus, 3, equals, 5, left parenthesis, x, minus, 2, right parenthesis
Choose 1 answer:
Choose 1 answer:
A
Only
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2
,
3
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(2,3)left parenthesis, 2, comma, 3, right parenthesis
B
Only
(
3
,
2
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(3,2)left parenthesis, 3, comma, 2, right parenthesis
C
Both
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2
,
3
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(2,3)left parenthesis, 2, comma, 3, right parenthesis and
(
3
,
2
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(3,2)left parenthesis, 3, comma, 2, right parenthesis
D
Neither
General form is: Ax+By+C=0
In both, where A, B, C are real numbers.
Why do we not multiply by negative 3? The fraction is a negative, so it seems like we should.
y - 3 = 2(x - 1)
Now your equation is
y - 3 = 2x - 2
y - 3 + 3 = 2x - 2 + 3
y = 2x + 1 (This is the slope-intercept form of the equation.)
y - 2x = 1
-2x + y = 1 (This is the standard form of the equation)
