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Absolute Value Relationships

Question 3 • TOL-202627-S1-MTH-Algebra 2A - Parker, Carla

Analyze the logical statements to fill in the missing information. | 1. If a line is horizontal, then it has a slope of 0. | Hypothesis: | Conclusion: | 2. A vertical line has an undefined slope. | The statement in equivalent "if-then" form would be: | Hypothesis: | Conclusion:

Answer
A
If a line is vertical, then it is vertical.
B
If a line is vertical, then it has an undefined slope.
C
If a line has an undefined slope, then it is a vertical line.

Explanation

In an if-then statement, the hypothesis is the condition after “if,” and the conclusion is what follows “then.” For statement 1, the hypothesis is “a line is horizontal,” and the conclusion is “it has a slope of 0.” Statement 2 becomes “If a line is vertical, then it has an undefined slope,” which is choice B. Choice C reverses the condition and conclusion.

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