Math Problem Statement
convert 2x+3y=5 from standard for into slope-intercept form
Solution
To convert the equation from standard form (Ax + By = C) into slope-intercept form (y = mx + b), we need to solve for .
Steps to Convert:
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Start with the given equation:
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Isolate the -term on one side: Subtract from both sides.
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Solve for by dividing every term by 3:
Slope-Intercept Form:
The slope-intercept form of the equation is:
In this form, the slope () is and the y-intercept () is .
Would you like more details on this, or do you have any other questions?
Here are 5 related questions that you might find interesting:
- How do you convert an equation from slope-intercept form to standard form?
- What is the slope of the line perpendicular to ?
- How do you find the x-intercept of the line ?
- What is the meaning of the slope and y-intercept in the context of a real-world problem?
- How do you graph a line given its equation in slope-intercept form?
Tip: When converting equations, carefully isolate the variable of interest by performing inverse operations systematically.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9