What is the slope of a line that is perpendicular to a line with a slope of -3?

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Question: What is the slope of a line that is perpendicular to a line with a slope of -3?

Options:

Correct Answer: 1/3

Solution:

The slope of a line perpendicular to another is the negative reciprocal. The negative reciprocal of -3 is 1/3.

What is the slope of a line that is perpendicular to a line with a slope of -3?

What is the slope of a line that is perpendicular to a line with a slope of -3?

Step 1: Understand that the slope of a line is a number that describes how steep the line is.
Step 2: Know that if two lines are perpendicular, their slopes are related in a special way.
Step 3: The relationship is that the slope of one line is the negative reciprocal of the slope of the other line.
Step 4: The slope given in the question is -3.
Step 5: To find the negative reciprocal, first take the reciprocal of -3, which is -1/3.
Step 6: Then, change the sign to make it positive. So, the negative reciprocal of -3 is 1/3.

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