Math Problem Statement
What is this equation in slope intercept form
What is this equation in slope-intercept form?
Solution
The equation given in the image is:
To rewrite this equation in slope-intercept form, which is , where is the slope and is the y-intercept, follow these steps:
Steps:
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Start with the given equation:
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Subtract from both sides to isolate :
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Multiply through by to make positive:
Final Answer:
This is the slope-intercept form. Here:
- The slope () is .
- The y-intercept () is .
Do you have any questions or want further details? Here are related follow-up questions:
- How do you find the slope and y-intercept directly from an equation in slope-intercept form?
- What does the slope of mean for the graph of this equation?
- How would the graph of this equation look like? (E.g., the line passes through .)
- How can you convert other forms of equations (e.g., standard form) into slope-intercept form?
- What are some practical uses of slope-intercept form in real-life problems?
Tip:
Always isolate on one side of the equation to convert into slope-intercept form!
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Math Problem Analysis
Mathematical Concepts
Algebra
Slope-Intercept Form
Linear Equations
Formulas
y = mx + b
Theorems
Properties of Linear Equations
Suitable Grade Level
Grades 7-9