Math Problem Statement
Enter the slope of the line as a reduced fraction. If the slope is undefined, write undefined.
Solution
To find the slope of the line shown in the image, we will use the slope formula:
Let's identify two points on the line:
- Point 1:
- Point 2:
Now, calculate the change in and :
So the slope is:
The slope of the line is .
Would you like further clarification or details?
Here are 5 questions that might help deepen your understanding:
- How do you determine the points on a line from a graph?
- Can the slope of a vertical line be calculated in the same way?
- How would you interpret the slope in real-world contexts?
- What happens if the slope is positive instead of negative?
- How can you verify the slope using different points on the same line?
Tip: Always check for correct points on the graph by looking where the line crosses grid intersections for accuracy.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (change in y) / (change in x)
Theorems
Slope formula theorem
Suitable Grade Level
Grades 7-9