Question #6446669Fill in the Blank
Algebra-1
Question
The slope of a line given by the equation is ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the concept of undefined slope. The equation represents a vertical line, and the slope of a vertical line is undefined.
This question tests the student's understanding of the concept of undefined slope. The equation represents a vertical line, and the slope of a vertical line is undefined.
Key Concept Explanation
The slope of a line is undefined when the line is vertical. For a vertical line, the x-coordinates of any two points on the line are the same, leading to a zero in the denominator of the slope formula, which results in an undefined value.
The slope of a line is undefined when the line is vertical. For a vertical line, the x-coordinates of any two points on the line are the same, leading to a zero in the denominator of the slope formula, which results in an undefined value.
Step-by-step Solution
1. Identify the given equation: .
2. Recognize that this equation represents a vertical line.
3. Apply the slope formula: .
4. For any two points on the line, the x-coordinates will be the same (e.g.,
1. Identify the given equation: .
2. Recognize that this equation represents a vertical line.
3. Apply the slope formula: .
4. For any two points on the line, the x-coordinates will be the same (e.g.,
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