If line A has a slope of 4 and line B is perpendicular to line A, what is the sl

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Question: If line A has a slope of 4 and line B is perpendicular to line A, what is the slope of line B?

Options:

Correct Answer: -1/4

Solution:

The slopes of perpendicular lines are negative reciprocals. The negative reciprocal of 4 is -1/4.

If line A has a slope of 4 and line B is perpendicular to line A, what is the slope of line B?

If line A has a slope of 4 and line B is perpendicular to line A, what is the slope of line B?

Step 1: Understand that the slope of line A is given as 4.
Step 2: Know that when two lines are perpendicular, their slopes are negative reciprocals of each other.
Step 3: To find the negative reciprocal of a number, first take the reciprocal (which means flipping the fraction). The reciprocal of 4 is 1/4.
Step 4: Then, make it negative. So, the negative reciprocal of 4 is -1/4.
Step 5: Therefore, the slope of line B, which is perpendicular to line A, is -1/4.

Slope of a Line – The slope of a line represents its steepness and direction, calculated as the rise over run.
Perpendicular Lines – Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are negative reciprocals.
Negative Reciprocal – The negative reciprocal of a number 'm' is -1/m, which is used to find the slope of a line perpendicular to another.