$\"\"$

The line equations are Line a: $\"\"$ , Line b: $\"\"$ , and Line c: $\"\"$ .

The equation of line a: $\"\"$ is adjusted in the slope - intercept form of equation or $\"\"$ where m is slope and b is y - intercept.

Therefore slope of line a is 3.

Rewrite the equation of line b: $\"\"$ in the slope - intercept form by solving for y.

Subtract 3x from each side.

$\"\"$

Therefore slope of line b is $\"\"$ . $\"\"$

Rewrite the equation of line c: $\"\"$ in the slope - intercept form by solving for y.

Divide each side by 3.

$\"\"$

Therefore slope of line c is $\"\"$ .

Therefore slopes of line a, line b and line c are $\"\"$ respectively.

The slopes of three lines a, b and c are different and these are not negative reciprocals, so the lines are neither parallel nor perpendicular. $\"\"$

The lines a, b and c are neither parallel nor perpendicular.