Question

find the distance from the parallel lines with the given equations 2x-3y+4=0 and y=2/3x+5

Answer 1

try making a line with a slope that is the negative reciprocal of those lines. this will give you a perpendicular line that goes through both of the parallel ones. determine at what points this perpendicular lines intersects both of the parallel ones. you will obtain two points. use the distance equation to determine the distance between these two points. because this is a perpendicular measure, this is the shortest distance between the lines

Answer 2

the perpendicular line *