Math Problem Statement
5x+2y=10 the slope intercept of the equation is
Solution
To write the equation in slope-intercept form (, where is the slope and is the y-intercept), we need to solve for .
Step-by-step process:
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Start with the given equation:
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Subtract from both sides to isolate the term:
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Divide both sides of the equation by 2 to solve for :
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Simplify the right-hand side:
Slope-Intercept Form:
The equation is now in slope-intercept form:
- Slope ():
- Y-intercept ():
Conclusion
The slope of the line is , and the y-intercept is .
Would you like more details or have any questions?
Related Questions:
- How would you convert into slope-intercept form?
- What is the slope of the equation ?
- How do you find the x-intercept and y-intercept of a line from its equation?
- Can you explain how to graph the line ?
- How do you convert the equation into slope-intercept form?
Tip:
To convert an equation into slope-intercept form, focus on isolating on one side. Once is by itself, the coefficient of gives you the slope, and the constant term is the y-intercept.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form: y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 8-10
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