Question 30575
{{{ 3x - 6y =9 }}} put in y=mx+b format
{{{ -6y = -3x + 9 }}} Divide by -6
{{{ -6y/-6 = -3x/-6 + 9/-6 }}}
{{{ y = 1x/2 - 3/2 }}} since the slope (m) is +1/2  the slope of the line that is perpendicular to it is -2/1.  Use this and the point to find the next line.
{{{ y=mx+b }}}
{{{ -1=(-2)(-2) + b }}} Solve for b
{{{ -1 = 4 + b }}} subtract 4
{{{ -5 = b }}} go back to y=mx+b with your slope and b values
{{{ y = -2x - 5 }}} put back into Ax+By=C (standard) format
{{{ 2x + y = -5 }}}
Look at those nice right angles
{{{ graph( 300, 300, -6, 6, -6, 6, (1x/2)-(3/2), -2x-5 ) }}}