Give the slope of each line and then determine whether the two lines are parallel, perpendicular, or neither parallel nor perpendicular 4x+5y=15
12x+15y=0

First, put the equations into slope-intercept form(y = mx + b):

Since slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept, the slope of the line(value of m) determines whether the lines are parallel or perpendicular.
Parallel lines have the same slope, and since , the lines are parallel. Also, because the m's aren't the same, the lines aren't identical.

Your answer is parallel.