Math Problem Statement
What is the slope of the line?
Solution
To calculate the slope of the line, we can use the slope formula:
Here, the two points are given as:
- Point 1:
- Point 2:
Let's substitute the coordinates into the formula:
Thus, the slope of the line is , which corresponds to option D.
Would you like any further clarification on this process?
Here are some related questions you can explore:
- How do you interpret the slope in the context of a real-life problem?
- What happens to the slope if the line is horizontal or vertical?
- How do you calculate the slope from a table of values?
- Can the slope be positive, negative, or zero? What do these values mean geometrically?
- How does the slope relate to the concept of rate of change?
Tip: Always remember that the slope represents the steepness or incline of a line, with the sign indicating whether it rises or falls.
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Math Problem Analysis
Mathematical Concepts
Linear Relationships
Slope of a Line
Coordinate Geometry
Formulas
Slope formula: slope = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 7-9