Question

The graphs of the lines represented by the equations
y=3x+7 and y=-3x-2 are
Select 1:
Question 1Answer

a.
parallel

b.
neither

c.
perpendicular

Answer 1

To determine the relationship between the two lines given by the equations \( y = 3x + 7 \) and \( y = -3x - 2 \), we need to look at their slopes.

1. The first line, \( y = 3x + 7 \), has a slope of \( 3 \).
2. The second line, \( y = -3x - 2 \), has a slope of \( -3 \).

Two lines are:
- **Parallel** if they have the same slope.
- **Perpendicular** if the product of their slopes is \(-1\).

Now, let's calculate the product of the slopes:
\[
3 \times (-3) = -9
\]

Since the product of the slopes is not \(-1\) and the slopes are not equal, the lines are neither parallel nor perpendicular.

Thus, the correct answer is:

**b. neither**