In a coordinate plane, if line A has the equation y = 1/2x + 2 and line B is per

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Question: In a coordinate plane, if line A has the equation y = 1/2x + 2 and line B is perpendicular to line A, what is the slope of line B?

Options:

Correct Answer: -2

Solution:

The slope of line A is 1/2. The slope of a line perpendicular to it is the negative reciprocal, which is -2.

In a coordinate plane, if line A has the equation y = 1/2x + 2 and line B is perpendicular to line A, what is the slope of line B?

In a coordinate plane, if line A has the equation y = 1/2x + 2 and line B is perpendicular to line A, what is the slope of line B?

Step 1: Identify the equation of line A, which is y = 1/2x + 2.
Step 2: Find the slope of line A. The slope is the number in front of x, which is 1/2.
Step 3: Understand that for a line to be perpendicular to another line, its slope must be the negative reciprocal of the original slope.
Step 4: Calculate the negative reciprocal of 1/2. The reciprocal of 1/2 is 2, and the negative of that is -2.
Step 5: Conclude that the slope of line B, which is perpendicular to line A, is -2.

Slope of a Line – The slope of a line in the form y = mx + b is represented by 'm'.
Perpendicular Lines – Two lines are perpendicular if the product of their slopes is -1, meaning the slope of one line is the negative reciprocal of the other.