Which of the following is NOT perpendicular to y = 3x + 6?Question 6Select one:a.y = -1/3 x - 12b.y = -1/3 x -2c.y = 1/3x +2
Question
Which of the following is NOT perpendicular to y = 3x + 6?
Question 6
Select one:
- a.
y = -1/3 x - 12 - b.
y = -1/3 x - 2 - c.
y = 1/3 x + 2
Solution
The line that is NOT perpendicular to y = 3x + 6 is c. y = 1/3x +2.
Here's why:
Two lines are perpendicular if the product of their slopes is -1. The slope of the given line y = 3x + 6 is 3.
Let's check the slopes of the options:
a. y = -1/3 x - 12: The slope is -1/3. The product of 3 and -1/3 is -1, so this line is perpendicular to the given line.
b. y = -1/3 x -2: The slope is -1/3. The product of 3 and -1/3 is -1, so this line is also perpendicular to the given line.
c. y = 1/3x +2: The slope is 1/3. The product of 3 and 1/3 is 1, not -1. Therefore, this line is not perpendicular to the given line.
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