<PRE><B>Question 136406</B>
solving for y in the original equation puts it into slope-intercept form (y=mx+b)
__ y=-3x+6 __ so the slope is -3


perpendicular lines have slopes that are negative reciprocals
__ so the slope of the new line is (-1)/(-3) or 1/3


using point-slope, the equation for the new line is y-7=(1/3)(x-6)
distributing __ y-7=(1/3)x-2 __ adding 7 __ y=(1/3)x+5</PRE>