In a coordinate plane, if line A has the equation y = -3x + 4 and line B is perp

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Question: In a coordinate plane, if line A has the equation y = -3x + 4 and line B is perpendicular to line A, what is the slope of line B?

Options:

Correct Answer: 3

Solution:

The slope of line A is -3. The slope of a line perpendicular to it is the negative reciprocal, which is 1/3.

In a coordinate plane, if line A has the equation y = -3x + 4 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 = -3x + 4 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 = -3x + 4.
Step 2: Find the slope of line A. The slope is the number in front of x, which is -3.
Step 3: Understand that for two lines to be perpendicular, the slope of one line must be the negative reciprocal of the other line's slope.
Step 4: Calculate the negative reciprocal of -3. The reciprocal of -3 is -1/3, and the negative of that is 1/3.
Step 5: Conclude that the slope of line B, which is perpendicular to line A, is 1/3.

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.