Math Problem Statement
Solution
To write the equation of the line in slope-intercept form (), let's analyze the given graph:
Steps to Solve:
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Find the slope (): The slope is calculated as: From the graph, pick two points on the line:
- Point 1:
- Point 2:
Calculate the slope:
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Find the -intercept (): The -intercept is where the line crosses the -axis. From the graph, this occurs at .
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Write the equation: Substitute and into the slope-intercept form:
Final Equation:
Let me know if you need more details or have any questions!
Related Questions:
- How is slope-intercept form derived, and why is it useful?
- How can you find the slope if only one point and the -intercept are known?
- What is the significance of a negative slope in a graph?
- How do you verify if a point lies on a given line?
- How can you rewrite this equation in standard form?
Tip: When identifying the slope from a graph, always check for the simplest points (integer coordinates) to avoid calculation errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Slope formula m = (y2 - y1) / (x2 - x1)
Slope-intercept form y = mx + b
Theorems
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Suitable Grade Level
Grades 7-9
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