Math Problem Statement
Solution
To find the slope of the line shown in the graph, we can follow these steps:
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Identify Two Points on the Line: From the image, it appears there are two notable points on the line:
- The first point is at .
- The second point is at .
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Use the Slope Formula: The formula for the slope () of a line that passes through two points and is:
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Plug in the Points: Using as and as ,
So, the slope of the line is 1.
If you have any questions or need further details, please let me know.
Here are some related questions for further practice:
- How do you find the slope of a line given its equation?
- What does a slope of zero indicate about a line?
- How do you interpret a negative slope on a graph?
- What is the slope-intercept form of a line?
- How would you find the slope if the points on the graph were decimals?
Tip: The slope indicates the steepness and direction of a line. A positive slope, like 1, means the line rises to the right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Basic concept of slope in coordinate geometry
Suitable Grade Level
Grades 6-8