If two lines are perpendicular, and one line has a slope of 4, what is the slope

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Question: If two lines are perpendicular, and one line has a slope of 4, what is the slope of the other line?

Options:

Correct Answer: -1/4

Solution:

The slopes of perpendicular lines are negative reciprocals. Therefore, the slope is -1/4.

If two lines are perpendicular, and one line has a slope of 4, what is the slope of the other line?

If two lines are perpendicular, and one line has a slope of 4, what is the slope of the other line?

Step 1: Understand that perpendicular lines are lines that intersect at a right angle (90 degrees).
Step 2: Know that the slope of a line is a number that describes how steep the line is.
Step 3: Remember that if two lines are perpendicular, their slopes are negative reciprocals of each other.
Step 4: The slope of the first line is given as 4.
Step 5: To find the negative reciprocal, first take the reciprocal of 4, which is 1/4.
Step 6: Then, make it negative. So, the negative reciprocal of 4 is -1/4.
Step 7: Therefore, the slope of the other line is -1/4.

Perpendicular Lines – Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are negative reciprocals of each other.