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Given the statement “If a line is horizontal, then it has slope equal to zero,” what is its contrapositive?

1 Answer

4 votes

Answer:

"If the line has a slope that is not 0, then the the line is not horizontal".

Explanation:

The contrapositive of "If p then q" is "If not q then not p".

p=a line is horizontal

not p= a line that is not horizontal

q=the line has a slope equal to zero

not q=the line has a slope that is not zero

The equivalent statement in contrapositive form is therefore:

"If the line has a slope that is not 0, then the the line is not horizontal".

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