What is the slope of the line perpendicular to the line 4x + 2y = 8?

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Question: What is the slope of the line perpendicular to the line 4x + 2y = 8?

Options:

Correct Answer: -1/2

Solution:

The slope of the line is -2 (from y = -2x + 4). The slope of the perpendicular line is the negative reciprocal, which is 1/2.

What is the slope of the line perpendicular to the line 4x + 2y = 8?

What is the slope of the line perpendicular to the line 4x + 2y = 8?

Step 1: Start with the equation of the line: 4x + 2y = 8.
Step 2: Rearrange the equation to the slope-intercept form (y = mx + b), where m is the slope.
Step 3: Subtract 4x from both sides: 2y = -4x + 8.
Step 4: Divide every term by 2 to solve for y: y = -2x + 4.
Step 5: Identify the slope (m) of the original line, which is -2.
Step 6: To find the slope of the line perpendicular to this line, take the negative reciprocal of -2.
Step 7: The negative reciprocal of -2 is 1/2.

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