Math Problem Statement
Graph y=-2x+3
Solution
To graph the equation , follow these steps:
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Identify the slope and y-intercept:
- The slope () is , which means for every 1 unit increase in , decreases by 2 units.
- The y-intercept () is , which means the line crosses the y-axis at the point .
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Plot the y-intercept:
- Start by plotting the point on the graph.
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Use the slope to find another point:
- From the y-intercept , move 1 unit to the right (increase by 1) and 2 units down (since the slope is ), landing at the point .
- Plot this point on the graph.
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Draw the line:
- Draw a straight line through the points and . This line is the graph of the equation .
Would you like a detailed image of the graph?
Here are 5 relative questions to consider:
- How would the graph change if the slope was positive?
- What happens to the graph if the y-intercept changes to -3?
- How would you graph , and how does it differ from ?
- How can you determine the x-intercept of the line ?
- How would the graph look if the equation were (no y-intercept)?
Tip: When graphing, always start with the y-intercept and use the slope to find other points on the line for accuracy.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9