Answer:
The distance between parallel lines is 
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Line A and Line B are parallel lines, because their slopes are equal
Step 1
Find the slope of the given lines
isolate the variable y in the equation A


The slope is 
Step 2
Find the slope of the perpendicular line to the given lines
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so

we have
-----> given lines
substitute

Step 3
Find the equation of the perpendicular line that pass though the origin
with the slope
and the point (0,0) Find the equation of the line



Step 4
Using a graphing tool
Graph the two parallel lines and the perpendicular line
The intersection points are
and
see the attached figure
we know that
the distance between the points A and B is the distance between parallel lines
the formula to calculate the distance between two points is equal to

substitute the values


