Math Problem Statement
−4x+4y=12 in slope form
Solution
To convert the equation into slope-intercept form, we need to solve for in terms of .
Steps:
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Start with the given equation:
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Add to both sides to isolate terms with :
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Divide each term by to solve for :
Result:
The slope-intercept form is: where the slope and the y-intercept .
Would you like further details or have any questions?
Further Questions:
- How can I graph this line using the slope and y-intercept?
- What would happen to the slope if the equation was ?
- How can I determine if two lines are parallel given their equations?
- How do you convert from slope-intercept form back to standard form?
- What are the effects of changing the y-intercept in a linear equation?
Tip:
In the slope-intercept form, the coefficient of represents the slope, showing how steep the line is.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form y = mx + b
Theorems
Properties of Linear Equations
Suitable Grade Level
Grades 7-9