Math Problem Statement
Find the slope, if it is defined, of the line. If the slope is undefined, state this.
Solution
To determine the slope of the line shown in the graph, we can use the slope formula:
From the graph, we can pick two clear points that the line passes through. Let's choose the points and .
Now, apply the slope formula:
Thus, the slope is .
So, the correct answer is A. The slope is .
Would you like more details or further explanations? Here are five related questions you might find helpful:
- How do you determine if a slope is positive or negative?
- What is the significance of a slope of zero?
- How does an undefined slope differ from a slope of zero?
- Can you find the equation of the line using the slope and one point?
- How can the slope formula be applied in three-dimensional space?
Tip: When the line moves upward from left to right, the slope is positive, as seen in this example!
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Slope formula
Suitable Grade Level
Grades 7-9