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Standard Form of Linear Equations  Concept
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
We will commonly see lines expressed in the standard form of a linear equation, especially when we look at and write systems of linear equations. The standard form of a linear equation puts the x and y terms on the left hand side of the equation, and makes the coefficient of the xterm positive. While standard form is commonly, we sometimes rewrite a line in slopeintercept form in order to graph it.
The standard form of a linear equation looks like ax+by=c. And what that means is that we have x and y but they both have exponents of 1 that's really important. We also have x and y and they're being added together. There's no multiplying going on, there's no dividing actually they could be subtracted and it would still be standard form. So standard form they have to be added or subtracted but x and y can't be multiplied or divided. The other important thing to keep in mind is that a and b are called coefficients because they're the numbers in front of a variable and then c is called the constant.
Standard Form is useful because a lot of times as it's helpful to find the x and y intercepts. And it also gets to be useful once you start studying quadratics which is when you have x squared. However most of the time people like to use equations that are either in point slope form or slope intercept form. So one of the things you're going to want to practice is being able to move fluidly between any of those 3 forms of equations. If you can do that you'll be able to solve any problem that comes your way.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
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Sample Problems (5)
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Standard Form of Linear Equations
Problem 1 8,323 viewsWrite y = 2x − 4 in standard form.

Standard Form of Linear Equations
Problem 2 6,086 viewsWrite y − 3 = 2(x + 4) in standard form.

Standard Form of Linear Equations
Problem 3 5,291 viewsGraph 2x + 3y = 6.

Standard Form of Linear Equations
Problem 4 197 views 
Standard Form of Linear Equations
Problem 5 162 views
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