-3x + 4y = 5
4y = 3x + 5
y = (3/4)x + 5/4
The slope is 3/4.
Perpendicular slope means turn over the fraction and change whatever + or - sign is in front.
Perpendicular slope = -4/3.
.
Slope = -4/3, y intercept = 2
Slope intercept form:
y = mx + b
y = (-4/3)x + 2