Math Problem Statement

Rewrite the following equation in standard form.

y = 2x + 8

Solution

To rewrite the equation y=2x+8y = 2x + 8 in standard form, you need to rearrange it into the form Ax+By=CAx + By = C, where AA, BB, and CC are integers, and AA is non-negative.

Starting with the given equation:

y=2x+8y = 2x + 8

Subtract 2x2x from both sides to move the xx term to the left side:

2x+y=8-2x + y = 8

Now, to make AA positive, multiply the entire equation by 1-1:

2xy=82x - y = -8

So, the equation in standard form is:

2xy=82x - y = -8

Would you like further details or have any questions about this? Here are some related questions:

  1. How do you convert an equation from slope-intercept form to standard form?
  2. What is the importance of the standard form of a linear equation?
  3. Can the standard form of a linear equation have fractions?
  4. What are the benefits of using the standard form over slope-intercept form?
  5. How do you find the slope of a line given its standard form?

Tip: When rewriting an equation in standard form, ensure that the coefficients of xx and yy are integers, and the coefficient of xx is non-negative.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Standard Form of Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9