Your friend claims that if a line has a slope less than 1, then any line perpendicular to it must have a positive slope. is your friend correct? . explain your reasoning

The friend's claim is not correct

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)

Example

A given line has a slope of  ---> (is less than 1)

the slope of the line perpendicular to the given line is equal to

substitute

so

the perpendicular line don't have a positive slope

therefore

The friend's claim is not correct

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step-by-step explanation: