how do we choose the point to base Point-slope form on

From what I've seen, I don't think it matters. Whichever one is easiest, like a positive point is easier than a negative point in my opinion. Hopefully I understood your question. Have a great day!

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Course: Algebra 1 > Unit 5

Lesson 6: Summary: Forms of two-variable linear equations

Forms of linear equations: FAQ

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Frequently asked questions about forms of linear equations

Where are linear equations used in the real world?

There are countless applications for linear equations in the real world! For example, engineers might use linear equations to study the relationships between different physical properties, like force and displacement. Economists might use linear equations to model supply and demand, or to predict future trends.

Practice with our Linear equations word problems exercise.

What is slope-intercept form?

Slope-intercept form is one way to write a linear equation. The form is

y = m x + b

, where

m

is the slope of the line and

b

is the

y

-intercept.

Practice with our Slope-intercept intro exercise.

How can we graph a slope-intercept equation?

Start by finding the

y

-intercept, or the point where the line crosses the

y

-axis. Plot that point first. Then, use the slope to find other points on the line. Remember that slope is "rise over run" - if the slope is positive, the line will go up as it goes to the right, and if the slope is negative, the line will go down as it goes to the right.

Practice with our Graph from slope-intercept form exercise.

How can we write an equation in slope-intercept form?

We need two pieces of information: the slope and the

y

-intercept. Once we have those, we substitute the values in for

m

and

b

in the equation

y = m x + b

Practice with our Slope-intercept equation from graph exercise.

What is point-slope form?

Point-slope form is another way to write a linear equation. The form is

y - y_{1} = m (x - x_{1})

, where

m

is the slope and

(x_{1}, y_{1})

is any point on the line.

Practice with our Point-slope form exercise.

What is standard form?

Standard form is yet another way to write a linear equation. The form is

A x + B y = C

, where

A

B

, and

C

are constants.

Practice with our Graph from linear standard form exercise.

Practice with our Convert linear equations to standard form exercise.

Why might we rewrite a linear equation in a different form?

There are a few reasons we might choose to rewrite a linear equation in a different form. For example, if we're trying to graph the equation, slope-intercept form might be the easiest to work with. But if we're trying to solve a system of equations, standard form might be more useful. It really depends on the situation.

Practice with our Linear equations in any form exercise.

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28nicholas.w
Posted a year ago. Direct link to 28nicholas.w's post “how do we choose the poin...”
how do we choose the point to base Point-slope form on
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- Oli M.
  Posted a year ago. Direct link to Oli M.'s post “From what I've seen, I do...”
  From what I've seen, I don't think it matters. Whichever one is easiest, like a positive point is easier than a negative point in my opinion. Hopefully I understood your question. Have a great day!
  Comment on Oli M.'s post “From what I've seen, I do...”
  (15 votes)
Big Nixon
Posted 5 months ago. Direct link to Big Nixon's post “i dont like this”
i dont like this
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landon.wilson.08
Posted 3 months ago. Direct link to landon.wilson.08's post “khan academy would be way...”
khan academy would be way better if they gave you a grilled cheese when you get an answer right just saying
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(3 votes)
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- Gray
  Posted 2 months ago. Direct link to Gray's post “Your disposition exudes i...”
  Your disposition exudes iPad kid energy.
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  (6 votes)
Priscilla
Posted 9 months ago. Direct link to Priscilla's post “Throughout the "Linear eq...”
Throughout the "Linear equations in any form" practice, I only used the slope intercept equation and the point-slope form equation. I didn't understand how to use standard form. How do you find A, B, and C in just one slope? What is A, B, and C? How do you use the standard form when breaking a slope into an equation? (Sry, that's a lot of questions)
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(5 votes)
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- Dane Legaré
  Posted 2 months ago. Direct link to Dane Legaré's post “I like to keep my notatio...”
  I like to keep my notation clear and label the forms as I use them. I also am developing a pattern to how I write out my info. So when it gives me two points on a graph and wants me to write an equation I'll write: (-2,-4)&(-5,5) do the rise over run etc.
  x y .... x1, y1
  To your question, you're reducing point slope form to slope intercept form. Use the Distributive property to move x to the other side. Don't think A,B,C Think x+y=b (b being x1 in the earlier equations which is also "b" in "y=mx+b"
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BlueJay
Posted 3 months ago. Direct link to BlueJay's post “Are there any other appli...”
Are there any other applications for using the Standard Form aside from getting both x & y intercepts?
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(2 votes)
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- rishav.rd
  Posted 10 days ago. Direct link to rishav.rd's post “Standard form of linear e...”
  Standard form of linear equations is also helpful for graphing, solving systems of equations, modeling real-world scenarios, matrix representation, and easier comparison of different equations.
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  (1 vote)
Valentin Gao
Posted 9 months ago. Direct link to Valentin Gao's post “I have noticed that Stand...”
I have noticed that Standard Form was often mentioned alongside Systems of Equations, and I was wondering what a system of equations is. Thank you!
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(1 vote)
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ssurajpal007
Posted 4 months ago. Direct link to ssurajpal007's post “how can i model supply an...”
how can i model supply and demand with linear equations any one hear to help
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Ahaan Awasthi Nerd
Posted 5 months ago. Direct link to Ahaan Awasthi Nerd's post “Ok so y=mx+b and ax+by=c ...”
Ok so y=mx+b and ax+by=c (standard form are interconnected) as is y-y₁=m(x-x₁) (point slope form)...... Like (3,4)and (-2,5) so lets say we want to write it in standard form and get the y intercept out of just this! Then, we first slope, my using y2-y1/x2/x1 The slope formula! And we get a slope of:
is -1/5 and then its y=-1/5x+b and we don't have y intercept right? Well now lets use y-y₁=m(x-x₁) and subsitue any of the points and then you hav'e point slope form! Editing the slope form ea'sil gives you ax+bx=c
Button navigates to signup pageComment on Ahaan Awasthi Nerd's post “Ok so y=mx+b and ax+by=c ...”
(1 vote)
Answer