Respuesta :

If the slope is not equal to zero, then the line is not horizontal.

In a contrapositive statement, we have to first switch the hypothesis and conclusion. Then, we have to negate both of the statements.

Contrapositive is ''If a line has not slope equal to zero, then it is not horizontal''

The given conditional statement is "If a line is horizontal, then it has slope equal to zero”.

Take statement [tex]\mathbf{p}[/tex] as ''a line is horizontal'' and statement [tex]\mathbf{q}[/tex] as ''it has slope equal to zero''

For a conditional statement of the form [tex]\mathbf{p}\rightarrow \mathbf{q}[/tex], contrapositive is given by [tex]\sim \mathbf{q}\rightarrow \sim \mathbf{p}[/tex]

So, the contrapositive of the given statement is as follows:

''If a line has not slope equal to zero, then it is not horizontal''

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