You can put this solution on YOUR website! 4x + 5 = 3y – 6 +x?
Only the x and y terms are of interest:
4x = 3y-x
3x = 3y
slope = 3/3 = 1
The slope of lines perpendicular (not just "the line") is the negative inverse,
= -1
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The coefficients 5 and -6 have no effect on the slope.