Question 1098189
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write the equation of the line perpendicular to 3x-1=0 and passing through 
(-1/2,3/4)
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Line {{{3x-1=0}}} is  {{{3x=1}}}  or {{{x=1/3}}}; and this is a vertical line, having NO SLOPE.


Slope of any line perpendicular to it is {{{0}}}, meaning no change in y, as x does change.  Line's equation which should work, is {{{y=3/4}}}, a horizontal line, and will include ( -1/2, 3/4 ).
{{{highlight(y=3/4)}}}