For each line, determine whether the slope is positive, negative, zero, or undefined.
Understand the Problem
The question is asking us to analyze four lines on a graph and determine whether the slope of each line is positive, negative, zero, or undefined based on their orientation. This involves interpreting the direction of each line in relation to the axes.
Answer
- Line 1: Zero - Line 2: Negative - Line 3: Zero - Line 4: Positive
Answer for screen readers
- Line 1: Zero
- Line 2: Negative
- Line 3: Zero
- Line 4: Positive
Steps to Solve
- Identify the orientation of Line 1
Line 1 is horizontal, meaning it does not rise or fall as it moves from left to right. The slope is therefore zero.
- Identify the orientation of Line 2
Line 2 slopes downward from left to right, indicating that as x increases, y decreases. This gives it a negative slope.
- Identify the orientation of Line 3
Line 3 is also horizontal like Line 1. Since it does not change in height while moving horizontally, its slope is zero.
- Identify the orientation of Line 4
Line 4 slopes upward from left to right. As x increases, y also increases, which corresponds to a positive slope.
- Line 1: Zero
- Line 2: Negative
- Line 3: Zero
- Line 4: Positive
More Information
Understanding the slope of a line is crucial in graph analysis. A positive slope indicates an upward trend, a negative slope indicates a downward trend, a zero slope implies no change (horizontal line), and an undefined slope describes vertical lines.
Tips
- Confusing horizontal lines with vertical lines. Horizontal lines have a slope of zero, while vertical lines have an undefined slope.
- Misinterpreting the direction of the slope; remember that slopes rise from left to right for positive and fall for negative.
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