Would lines 4x+3y=52 and 3x-4y=44 be perpendicular parallel or neither?
step 1
Find out the slopes of the given lines
4x+3y=52
isolate the variable y
3y=-4x+52
y=-(4/3)x+52/3 ------> m=-4/3
3x-4y=44
4y=3x-44
y=(3/4)x-44/4 ------> m=3/4
step 2
Compare their slopes
m=-4/3 and m=3/4
the slopes are opposite reciprocal
that means
the lines are perpendicular