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What's Standard Form of a Linear Equation?

Definition: Standard Form of a Linear Equation

Summary

  1. Ax+By=C is called STANDARD form of a linear equation
  2. Linear equations can also be written in SLOPE-INTERCEPT or POINT-SLOPE form
  3. y=2x-2 is in SLOPE-INTERCEPT form
  4. Since y=2x-2 can be rewritten in the form Ax+By=C, we know it is linear

Notes

    1. This is known as STANDARD form of a linear equation
    2. Linear equations can also be written in slope-intercept form or point-slope form
    3. A, B, and C can be any number
    1. Right now this equation is in SLOPE-INTERCEPT form
    1. If we can convert it into the form Ax+By=C, we know it must be linear
    1. Subtract y from both sides to move it to the side with the 2x
    2. Add 2 to both sides to get the number by itself on the other side
    3. This will put our equation into STANDARD form
    1. Not all linear equations will necessarily look alike
    2. But if it can be rewritten in this form, you know that is it linear