Can someone with this one too? ? it doesn't really make sense cause i thought the slope would just be negative reciprocal or something.. complete the sentence to make a true statement. two lines are perpendicular when the product of their slopes is -1. the product of their slopes is greater than 0. they have the same slope. their slopes are undefined.

You are right about they being negative reciprocals.

But the definition of a reciprocal is: "A mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity."

Which means is the reciprocal of 3 because when you multiply them you get 1.

Negative reciprocals means, on the other hand, literally negative of reciprocals.

For example, is the negative reciprocal of 3.

And when you multiply a number with its negative reciprocal, you get -1.

In choices, it says "the product of", which means when you multiply two numbers, the answer is the product of the two numbers.

So, if their slopes are negative reciprocals, their "product" has to be -1.