Okay tell me if thease lines are parallel, perpendicular or neither.

y=3x-2
y=1/3x+2

Neither. You know that lines are parallel if they have the same slope, and perp, if the slope is the negative inverse. The slope is the inverse, but it is still positive. So neither.

To determine if two lines are parallel, perpendicular, or neither, we need to compare their slopes.

First, let's write the equations of the lines in slope-intercept form, y = mx + b, where m represents the slope of each line.

Given the equations:
y = 3x - 2 [Equation 1]
y = (1/3)x + 2 [Equation 2]

From Equation 1, we can see that the slope of the line is 3 (the coefficient of x).

From Equation 2, we can see that the slope of the line is 1/3.

Comparing the slopes, we can draw the following conclusions:
- If the slopes of two lines are equal, they are parallel.
- If the slopes of two lines are negative reciprocals of each other (i.e., their slopes multiply to -1), they are perpendicular.
- If the slopes of two lines are nonequal and not negative reciprocals, they are neither parallel nor perpendicular.

In this case:
The slope of Equation 1 is 3.
The slope of Equation 2 is 1/3.

Since the slopes are not equal and not negative reciprocals, we can conclude that the lines described by these equations (y = 3x - 2 and y = (1/3)x + 2) are neither parallel nor perpendicular.