Math Problem Statement
What is the slope of this line?
Solution
To find the slope of the line, we can use the formula for slope:
where and are two points on the line. In this case, the points given are:
Substituting these values into the formula:
Therefore, the slope of the line is:
Would you like a deeper explanation of the slope calculation process, or do you have any other questions?
Here are some related questions to consider:
- How do you determine the slope from a graph without given points?
- What does a positive slope represent in the context of a line's direction?
- How does changing the points on a line affect the slope?
- What are some examples of slopes that indicate horizontal and vertical lines?
- How do you find the slope between two points that include negative coordinates?
Tip: When calculating slope, always subtract coordinates in the same order, using .
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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
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Suitable Grade Level
Grades 7-9