
Lines
Sorry to bother you guys >__<
Find the following distances between the parallel lines
3x+2y=12 and 3x+12y= 14
The horizontal distance
THe vertical distance
The shortest distance
I dunno how to find these distances
OMG THANKS A MILLION! T___T I would've never survived w/o your help

those are not parallel lines.

Oops i meant 3x+2y= 14
FIXED

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Use the formula from the other post to compute the shortest distance (i.e perpendicular distance) or $\displaystyle d = \frac{Am + Bn + C}{\sqrt{A^2+B^2}} $. To find the vertical distance, choose a point on each line that has the same xcoordinate (then use the formula $\displaystyle d = y_2y_1 $). Likewise, for the horizontal distance, choose a point on each line that has the same ycoordinate (then use the formula $\displaystyle d = x_2x_1) $. Really, $\displaystyle x = 0, \ y = 0 $ are the easiest choices.