Math Problem Statement
Solution
To find the slope of the line passing through the points and , we can use the slope formula:
Where:
Substitute the values into the formula:
Thus, the slope of the line is , which corresponds to option (3).
Do you have any questions or need further details?
Here are 5 related questions to deepen your understanding:
- How do you find the slope if given two points with the same x-coordinates?
- What would the equation of the line be if it passed through these points?
- How does the slope relate to the steepness of the line?
- If the slope was positive, what would that imply about the direction of the line?
- How does the slope of a horizontal line differ from that of a vertical line?
Tip: When calculating slope, always pay attention to the signs of the coordinates, as they affect the result.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope formula: \( \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \)
Theorems
Slope of a line theorem
Suitable Grade Level
Grades 7-10
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