If two lines are perpendicular, what is the product of their slopes?

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Question: If two lines are perpendicular, what is the product of their slopes?

Options:

Correct Answer: -1

Solution:

The product of the slopes of two perpendicular lines is -1.

If two lines are perpendicular, what is the product of their slopes?

If two lines are perpendicular, what is the product of their slopes?

Step 1: Understand what perpendicular lines are. Perpendicular lines are lines that intersect at a right angle (90 degrees).
Step 2: Know what a slope is. The slope of a line is a number that describes how steep the line is.
Step 3: Learn the relationship between the slopes of perpendicular lines. If one line has a slope 'm1', the other line that is perpendicular to it will have a slope 'm2'.
Step 4: The key relationship is that the product of the slopes of two perpendicular lines is -1. This means if you multiply 'm1' and 'm2', you get -1: m1 * m2 = -1.
Step 5: Remember that this means if one slope is positive, the other must be negative, and vice versa.

Perpendicular Lines and Slopes – When two lines are perpendicular, the product of their slopes is -1, indicating that one slope is the negative reciprocal of the other.