For each line, determine whether the slope is positive, negative, zero, or undefined.
Understand the Problem
The question asks to determine the slope of each given line whether it is positive, negative, zero, or undefined.
Answer
Line 1: Undefined Line 2: Zero Line 3: Positive Line 4: Negative
Answer for screen readers
Line 1: Undefined Line 2: Zero Line 3: Positive Line 4: Negative
Steps to Solve
- Analyze Line 1
Line 1 is a vertical line. The slope of a vertical line is undefined.
- Analyze Line 2
Line 2 is a horizontal line. The slope of a horizontal line is zero.
- Analyze Line 3
Line 3 is increasing from left to right. Therefore, the slope is positive.
- Analyze Line 4
Line 4 is decreasing from left to right. Therefore, the slope is negative.
Line 1: Undefined Line 2: Zero Line 3: Positive Line 4: Negative
More Information
The slope of a line represents the rate of change of $y$ with respect to $x$. A positive slope means that as $x$ increases, $y$ also increases. A negative slope means that as $x$ increases, $y$ decreases. A zero slope means that $y$ doesn't change as $x$ changes (horizontal line). An undefined slope means that $x$ doesn't change as $y$ changes (vertical line).
Tips
A common mistake is confusing zero and undefined slopes. Remember that a horizontal line has a slope of zero, while a vertical line has an undefined slope. Also, it is easy to mix up positive and negative slopes if you don't consider the direction of the line from left to right.
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