Math Problem Statement
Rewrite the equation y = 4x + 3 in standard form.
Solution
The equation in the image is , and the task is to rewrite it in standard form.
The standard form of a linear equation is:
Where:
- , , and are integers.
- is typically positive.
To rewrite in standard form, follow these steps:
-
Start with the equation:
-
Subtract from both sides to move the -term to the left side:
-
Multiply the entire equation by (if necessary) to make the -term positive:
Thus, the equation in standard form is:
Would you like more details or have any other questions?
Here are 5 related questions:
- How do you convert an equation from slope-intercept form to standard form?
- What is the significance of standard form in linear equations?
- Can any linear equation be written in standard form?
- Why is it important for in the standard form to be positive?
- What are the different forms of a linear equation?
Tip: Always check for simplification opportunities when converting to standard form!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Standard form of a linear equation: Ax + By = C
Theorems
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Suitable Grade Level
Grades 8-10