Line a is perpendicular to line b. which statement about lines a and b is true

Product of slope will be -1.

Step-by-step explanation:

We know that slope of the line describes its orientation , where tangent of the angle made by the line with the x axis will be the slope of the line .

Since here , We are given that line A and B are perpendicular to each other ,

If one line makes the angle a with x axis then other will make -(90-a) ,

So product of slope of the given lines will be , tan(a).tan-(90-a) = -1.

Now , sum of slopes can't be zero as they are not equal in magnitude

And  , also slope are not equal as orientation of the lines are different.

Option A is the correct answer. Product of slopes of the lines will be -1.

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step-by-step explanation: