Question 826897
{{{6x+3y=8}}}
{{{3y=-6x+8}}}
{{{y=-2x+8/3}}}


Any line perpendicular to that given line has slope {{{m(-2)=-1}}}, {{{highlight_green(m=1/2)}}}.


This perpendicular line has unknown y-intercept, b, until calculated:
{{{y=(1/2)x+b}}}
{{{b=y-(1/2)x}}};
and must contain the given point (3,-4).
{{{highlight_green(b=-4-(1/2)3)}}};
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Can you finish?