Math Problem Statement
Solution
The linear equation given is:
From this equation, we can identify:
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The y-intercept (): The y-intercept is the constant term, which is . This means that the line crosses the y-axis at .
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The slope (): The slope is the coefficient of , which is . This means for every 3 units you move to the right (positive x-direction), the line goes down by 2 units (negative y-direction).
To graph this equation:
- Start at the y-intercept, .
- Use the slope, , to find the next point by moving 3 units to the right and 2 units down.
Would you like further details on any of these steps?
Here are some related questions you might find helpful:
- How can I interpret the slope in practical terms?
- What does a negative slope imply about the direction of the line?
- How would the graph change if the y-intercept was negative?
- What if the slope was positive instead of negative?
- How can I find the x-intercept from this equation?
Tip: When working with slopes, remember that a negative slope means the line falls as it moves from left to right, while a positive slope means it rises.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-intercept form y = mx + b
Theorems
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Suitable Grade Level
Grade 8-10