What is the slope of the line perpendicular to the line with slope 3?

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

Options:

Correct Answer: -1/3

Solution:

Slope of perpendicular line = -1/m = -1/3.

What is the slope of the line perpendicular to the line with slope 3?

What is the slope of the line perpendicular to the line with slope 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 a line has a slope of 3, it means for every 1 unit you move to the right, you move up 3 units.
Step 3: Remember that the slope of a line that is perpendicular (at a right angle) to another line is the negative reciprocal of the original slope.
Step 4: To find the negative reciprocal, take the original slope (which is 3) and flip it to get 1/3.
Step 5: Change the sign to negative, so it becomes -1/3.
Step 6: Therefore, the slope of the line that is perpendicular to the line with slope 3 is -1/3.

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