Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Standard Form of Linear Equations  Problem 1
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
The standard form of a linear equation is Ax+By=C. To change an equation written in slopeintercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.
Here I have an equation that's given to us in slope intercept form. Slope intercept form is useful for graphing, but this problem wants us to turn it into standard from. It's really important that you're able to work between the three different forms of equations of lines.
So if I want to get this into standard form, that means I want it to look like some number times x, plus some number times y is equal to some constant. That's my goal. So I need to get both the xs, and ys on the same side on the equals. Then the regular old number which we call a constant should be by itself on the right hand side.
So let's see. This x needs to move over there. I'm going to subtract 2x from both sides, so now I have 2x plus y equals 4. Let's check and see if we have it. We have a coefficient times x, plus a coefficient times y. There isn't anything written there, but you can think of that coefficient as 1. I'm going to write it there in dashy lines. You don't have to write the 1, but it's implied that there is 1y, so that's okay. Then it's equal to my constant c. I'm all done.
That's an equation that's the exact same as that equation, only this one is written in standard form.
Please enter your name.
Are you sure you want to delete this comment?
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”
Get Peer Support on User Forum
Peer helping is a great way to learn. Join your peers to ask & answer questions and share ideas.
Concept (1)
Sample Problems (5)
Need help with a problem?
Watch expert teachers solve similar problems.

Standard Form of Linear Equations
Problem 1 8,462 viewsWrite y = 2x − 4 in standard form.

Standard Form of Linear Equations
Problem 2 6,212 viewsWrite y − 3 = 2(x + 4) in standard form.

Standard Form of Linear Equations
Problem 3 5,363 viewsGraph 2x + 3y = 6.

Standard Form of Linear Equations
Problem 4 239 views 
Standard Form of Linear Equations
Problem 5 188 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete