Y = 3/2x + 2
y = 2/3x + 6
These lines are...

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Step-by-step explanation:

The slope-intercept form of the line equation

where

Given the lines

y = 3/2x + 2

Finding the slope of y = 3/2x + 2

comparing with the slope-intercept form of the line equation

The slope m₁ = 3/2

y = 2/3x + 6

Finding the slope of y = 2/3x + 6

comparing with the slope-intercept form of the line equation

The slope m₂ = 2/3

So,

m₁ = 3/2

m₂ = 2/3

We know that when two lines are parallel, they have equal slopes

But  

m₁ ≠ m₂

3/2 ≠ 2/3

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × 2/3

             = 6/6

             = 1

As  

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

c. side angle side. u shares the same sides