Math Problem Statement
Write the equation y = 4x - 13 in standard form.
Solution
The equation provided in the image is .
To rewrite this equation in standard form, the goal is to have all terms on one side of the equation, with the variables and on the left-hand side and the constant on the right-hand side.
Here’s how to do that:
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Subtract from both sides to move it to the left side of the equation:
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Now, rearrange the terms to match the standard form :
Thus, the equation in standard form is:
Let me know if you'd like further details or explanations!
Related questions:
- How do you convert an equation from slope-intercept form to standard form?
- What are the conditions for an equation to be considered in standard form?
- How would the process change if there was a fraction in the equation?
- Can you graph the equation before and after converting to standard form?
- What do the coefficients , , and represent in standard form?
Tip:
Always check if the coefficients in the standard form can be simplified or if they need to be positive. Sometimes, the standard form is written with a positive .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Standard form: Ax + By = C
Theorems
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Suitable Grade Level
Grades 8-10