Question: What is the slope of the line perpendicular to the line y = -2x + 3?
Options:
-1/2
1/2
2
-2
Correct Answer: 1/2
Solution:
The slope of the given line is -2. 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 y = -2x + 3?
Practice Questions
Q1
What is the slope of the line perpendicular to the line y = -2x + 3?
-1/2
1/2
2
-2
Questions & Step-by-Step Solutions
What is the slope of the line perpendicular to the line y = -2x + 3?
Step 1: Identify the slope of the given line. The equation of the line is y = -2x + 3. The slope is the number in front of x, which is -2.
Step 2: Find the negative reciprocal of the slope. The negative reciprocal of -2 is 1/(-2) = -1/2. To find the negative reciprocal, you flip the fraction and change the sign.
Step 3: Since the slope of the line we want is perpendicular to the given line, we take the negative of -1/2, which gives us 1/2.
No concepts available.
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