Question 1134563
{{{ 5y = -4x/7 + 5 }}}
{{{ y = (-4/35)*x + 1 }}}
Slope, {{{ m = -4/35 }}}
Any line perpendicular to this line has
slope {{{ -1/m = 35/4 }}}
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use the general point-slope formula
{{{ ( y -(-3) ) / ( x - 4 ) = 35/4 }}}
Multiply both sides by {{{ 4*( x - 4 ) }}}
{{{ 4*( y + 3 ) = 35*( x - 4 ) }}}
{{{ 4y + 12 = 35x - 140 }}}
{{{ 4y = 35x - 152 }}}
{{{ y = (35/4)*x - 38 }}}
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Here's a plot of the 2 lines
{{{ graph( 400, 400, -10, 10, -10, 10, (-4/35)*x + 1, (35/4)*x - 38 ) }}}
Looks OK