What is the slope of the line perpendicular to the line y = -3x + 4?

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Question: What is the slope of the line perpendicular to the line y = -3x + 4?

Options:

Correct Answer: 3

Solution:

The slope of the given line is -3. The slope of the perpendicular line is the negative reciprocal: 1/3.

What is the slope of the line perpendicular to the line y = -3x + 4?

What is the slope of the line perpendicular to the line y = -3x + 4?

Step 1: Identify the equation of the line given, which is y = -3x + 4.
Step 2: Find the slope of the given line. The slope is the number in front of x, which is -3.
Step 3: To find the slope of a line that is perpendicular to the given line, take the negative reciprocal of -3.
Step 4: The negative reciprocal of -3 is 1/3. This means you flip the fraction and change the sign.
Step 5: Therefore, the slope of the line that is perpendicular to the line y = -3x + 4 is 1/3.

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