Math Problem Statement
what is the slope intercept for 2x+3y = 6
Solution
To find the slope-intercept form of the equation , we need to solve for in terms of and write the equation in the form , where is the slope and is the y-intercept.
Here’s the step-by-step process:
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Start with the equation:
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Subtract from both sides to isolate the term:
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Divide both sides by 3 to solve for :
Now the equation is in slope-intercept form , where:
- The slope () is .
- The y-intercept () is .
Do you want more details or have any questions?
Here are 5 related questions to expand your understanding:
- How do you find the slope given two points on a line?
- What is the significance of the y-intercept in a linear equation?
- How would you convert a slope-intercept form equation back to standard form?
- Can you graph the equation ?
- What is the effect on the graph if the slope is positive instead of negative?
Tip: When graphing a line, start by plotting the y-intercept and then use the slope to find another point on the line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-Intercept Form: y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 8-10