Question

Which of the following lines are perpendicular to the line y = -5?

A. 3x - y = 2
B. y = 3x
C. 3x + y = 5
D. x - y = 3
E. 3x - y = 6

Answer 1

To determine if a line is perpendicular to y = -5, we need to find the slope of the given line and check if the product of the slopes is -1. None of the given lines are perpendicular to y = -5.

Step-by-step explanation:

To determine if a line is perpendicular to the line y = -5, we need to find the slope of the given line and check if the product of the slopes is -1.

The slope of the line y = -5 is 0 since it is a horizontal line.

Now, let's calculate the slopes of the given lines and check if they are perpendicular to y = -5:

1. 3x - y = 2: rearranging to y = 3x - 2, the slope is 3.
2. Since 0 * 3 = 0, this line is not perpendicular.
3. y = 3x: the slope is 3.
4. Since 0 * 3 = 0, this line is not perpendicular.
5. 3x + y = 5: rearranging to y = -3x + 5, the slope is -3.
6. Since 0 * -3 = 0, this line is not perpendicular.
7. x - y = 3: rearranging to y = x - 3, the slope is 1.
8. Since 0 * 1 = 0, this line is not perpendicular.
9. 3x - y = 6: rearranging to y = 3x - 6, the slope is 3.
10. Since 0 * 3 = 0, this line is not perpendicular.

None of the given lines are perpendicular to y = -5.