Math Problem Statement
Rewrite the following equation in standard form.
y = 2x + 8
Solution
To rewrite the equation in standard form, you need to rearrange it into the form , where , , and are integers, and is non-negative.
Starting with the given equation:
Subtract from both sides to move the term to the left side:
Now, to make positive, multiply the entire equation by :
So, the equation in standard form is:
Would you like further details or have any questions about this? Here are some related questions:
- How do you convert an equation from slope-intercept form to standard form?
- What is the importance of the standard form of a linear equation?
- Can the standard form of a linear equation have fractions?
- What are the benefits of using the standard form over slope-intercept form?
- 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 and are integers, and the coefficient of 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