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If you mean: y = -4x+3 then the perpendicular slope is 1/4
4x+2y = 6 2y = -4x+6 y = -2x+3 Perpendicular slope is 1/2
the slope is -5/4
If you have a line, such as y=mx+b, in slope intercept form, you know that any line parallel to it has slope m also. It does not matter what the y intercept is, if slope is m, it will be parallel to the original line. Example: y=3x+2, than any line with slope 3 is parallel, so y=3x+15 is parallel. If you have a specific y intercept, say 29, than the parallel line will be y=3x+29 I can't read you equation well enough to understand them, but this should explain how to do it. So here is another example: A line parallel to y=4x+13 with y intercept 22 y=4x+22 is the answer.
If the equation is x+4 the slope is 1. If the equation is 4x than the slope is 4.