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You are missing either a + or a - in 32x 12y12 You must have meant either 32x+12y12 or 32x-12y12. Also, if you probably meant to compare the two, they should have been equations to describe a line. Probably you meant 3x-8y12=0 and 32x+-12y12=0. Then you could have gotten the slope of the lines by rearranging the equations to the form y=mx+b. m is the slope of the line. If they have the same slope, they would be parallel. If they had opposite slope, they would be perpendicular. In this case, after rearranging the equations, you will find that they have neither the same slope nor opposite slopes; so they are neither parallel nor perpendicular.
Slope Intercept form is meant for a line, so if you know the slope m in the equation y=mx+b then with a given point say (3,4) and say the slope of the line was 2 then the equation would read y=2x+4.
Rise over run, generally change in y-coordinates divided by change in x-coordinates.
I am assuming you meant two points of coordinates (2,6) and (4,10) in the rectilinear plot. slope = (y2-y1)/(x2-x1) = (10-6)/(4-2) = 4/2 = 2.
then the slope is x=y. there is no slope.