Question 1205630
{{{7y+4x=-14}}}

{{{4x+7y=-14}}}

If equation for line is in form, {{{Ax+By=C}}}, the line perpendicular has left member {{{Bx-Ay=D}}}, and right-member may be different than C.  You could try to use slope-intercept form to help to see the change in the left member.


Continuing with your given equation, you want {{{7x-4y=7*2-4(-3)}}},
{{{7x-4y=14+12}}}
{{{highlight(7x-4y=26)}}}


For slope-intercept form, solve for y in terms of x and adjust.
{{{-4y=-7x+26}}}
{{{y=(7/4)x-26/4}}}
{{{y=(7/4)x-13/2}}}--------or if you prefer, {{{y=(7/4)x-6&1/2}}}.