Forms of linear equations review (article) | Khan Academy (2024)
There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.
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Kelsen Miener
7 years agoPosted 7 years ago. Direct link to Kelsen Miener's post “In the point slopes form,...”
In the point slopes form, it looks like you're saying you could use either set of coordinates.I thought it was the first set of coordinates since it says x1 and y1. Please explain. Thanks.
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(19 votes)
Scott Ferguson
4 years agoPosted 4 years ago. Direct link to Scott Ferguson's post “That is correct. You can ...”
That is correct. You can definitely use either set of coordinates. Don't mix-and-match: you can't use x1 and y2, but you can use (x1, y1) or (x2, y2) and it will work just as well either way.
(43 votes)
Betsy Glad
3 years agoPosted 3 years ago. Direct link to Betsy Glad's post “How do you know when to u...”
How do you know when to use point slope form vs slope intercept form?
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(16 votes)
Kim Seidel
3 years agoPosted 3 years ago. Direct link to Kim Seidel's post “Most of the time, it woul...”
Most of the time, it would be your choice. Though, your teacher may request that you use a specific approach to see if you know how to do it.
3 years agoPosted 3 years ago. Direct link to ZetaFox's post “ax + by + c = 0ax + by =...”
ax + by + c = 0 ax + by = c
I've heard of 2 "standard" forms of linear equations. Which one is correct?
should c in the 1st line be -c though? since im moving it from the right to left...?
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(9 votes)
Khushi Viramgami
3 years agoPosted 3 years ago. Direct link to Khushi Viramgami's post “hey! okay, so I'm pretty ...”
hey! okay, so I'm pretty sure you're confusing a quadratic equation with a linear equation. A linear equation is a straight line, while a quadratic is a curve/parabola. You'll probably learn that later in algebra 1 and 2.
anyways, the standard linear equation is ax+by=c, while the standard quadratic equation is slightly different from what you have; it should be ax^2+bx+c=0
hope this helps!!
(19 votes)
victoria.reed
6 years agoPosted 6 years ago. Direct link to victoria.reed's post “when do you need to use s...”
when do you need to use slope?
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(11 votes)
James Gallagher
a year agoPosted a year ago. Direct link to James Gallagher's post “To determining the slope/...”
To determining the slope/ steepness of a line. You should review the slope videos if you need help.
(2 votes)
Corey Zuk
3 years agoPosted 3 years ago. Direct link to Corey Zuk's post “i must be behind in math ...”
i must be behind in math because all of this is way too confusing
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(8 votes)
em
4 years agoPosted 4 years ago. Direct link to em's post “Why are point-slope opera...”
Why are point-slope operations the opposite? For example, the point is (2,-3). why is y+3=3/4(x-2) correct but not y-3=3/4(x+2)?
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(4 votes)
Kim Seidel
4 years agoPosted 4 years ago. Direct link to Kim Seidel's post “Point slope form is a var...”
Point slope form is a variation of the slope formula: Slope m = (y2-y1)/(x2-x1) If you mulitply both sides by (x2-x1), then you get point slope form: (y2-y1) = m(x2-x1) Then, they swab a couple of variables to clarify the variables that stay. X2 becomes X, and Y2 becomes Y. And, you have the point slope form.
Remember, slope is calculated as the change in Y over the change in X. So, it requires the subtraction.
Hope this helps.
(8 votes)
worldsage
7 years agoPosted 7 years ago. Direct link to worldsage's post “Is it possible to convert...”
Is it possible to convert standard form back to point-slope directly?
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(5 votes)
mickycarey
7 months agoPosted 7 months ago. Direct link to mickycarey's post “In the previous exercise:...”
In the previous exercise: "Linear equations in any form", is there a method to figure out from the graph the equation in standard form directly or do you have to work out one of the slope forms first and then re-arrange the formula?
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(4 votes)
Kim Seidel
7 months agoPosted 7 months ago. Direct link to Kim Seidel's post “You would need to use poi...”
You would need to use point-slope form or slope intercept form to create an equation. Then, convert it to standard form.
(6 votes)
Stelios Kourentzis
4 years agoPosted 4 years ago. Direct link to Stelios Kourentzis's post “at the end it says this i...”
at the end it says this is a standard form y+3x=−10 it sould be fist 3x +y= -10 isn't ?
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(4 votes)
Peter Dresslar
3 years agoPosted 3 years ago. Direct link to Peter Dresslar's post “Specifically there are a ...”
Specifically there are a lot of teachers that would mark y+3x=−10 wrong. Maybe correctly; the form is the whole point of the exercise.
(2 votes)
ultraidiotboy
3 years agoPosted 3 years ago. Direct link to ultraidiotboy's post “what’s point-slope form g...”
what’s point-slope form going to be useful for?
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(4 votes)
etoile~
3 years agoPosted 3 years ago. Direct link to etoile~'s post “Point slope form is impor...”
Point slope form is important because it can give us another set of coordinate pairs when we are only given one. Using algebraic manipulation, you can find coordinates and the slope from just that equation which helps with graphing. Being able to readily switch from different linear equation forms helps solving complex problems. Hope this helps. 🙃
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