SOLUTION: find the shortest distance between the parallel lines with equations 5x-12y+33=0 and 5x-12y-6=0 A. 3 B. 39 C. 27/5 D. 27/13 E.n/a well the answer i got to this problem

Question 146939: find the shortest distance between the parallel lines with equations
5x-12y+33=0 and 5x-12y-6=0
A. 3
B. 39
C. 27/5
D. 27/13
E.n/a
well the answer i got to this problem was 39 but im not to sure cn someone corect me if im wrong
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
5x-12y+33=0
5x-12y-6=0
.
5x-12y+33=0
-12y=-5x-33
y=5x/12 + 33/12
.
5x-12y-6=0
-12y=-5x+6
y=5x/12 - 1/2
.
The distance between the parallel lines is |33/12 + 1/2|=3.25
This is easier to see if we change the slope from 5x/12 (1st graph) to 0x/12 (2nd graph)

.
Ed
.

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