Given the statement "If a line is horizontal, then it has slope equal to zero," what is its contrapositive? If a line is horizontal, then it has zero slope. If a line has zero slope, then it is a horizontal line. If a line is not horizontal, then it does not have zero slope. If a line does not have zero slope, then it is not a horizontal line.

Question

Mathematics

Jair Cowan

12 August, 17:23

Given the statement "If a line is horizontal, then it has slope equal to zero," what is its contrapositive? If a line is horizontal, then it has zero slope. If a line has zero slope, then it is a horizontal line. If a line is not horizontal, then it does not have zero slope. If a line does not have zero slope, then it is not a horizontal line.

+3

Answers (2)

Know the Answer?

Franky · Answer 1

the last option is correct

Step-by-step explanation:

If a line does not have zero slope, then it is not a horizontal line.

Esmeralda Gentry · Answer 2

Contrapositive are the statements in which we switch the hypothesis and the conclusion of the statement and then we take the negation of both.

Here the hypothesis is " A line is horizontal"

And the conclusion is " slope equal to zero"

In order to make the contrapositive statement we switch the hypothesis and conclusion and then take negation.

Therefore, the contrapositive statement is given by

If a line does not have zero slope, then it is not a horizontal line.

Last option is correct.