Question 1175901
Line passing through (3,-4) and perpendicular to {{{x=-(7/8y)+3}}}


{{{x-3=-7y/8}}}
{{{-(8/7)(x-3)=y}}}
{{{y=-8x/7+24/7}}}


For the perpendicular line requested, {{{y=(7/8)x+b}}}
{{{y-(7/8)x=b}}}
{{{b=y-(7/8)x}}}
{{{b=-4-(7/8)(-4)}}}
{{{b=-4+7/2}}}
{{{b=-8/2+7/2}}}
{{{b=-1/2}}}


The equation requested, {{{highlight(y=(7/8)x-1/2)}}}