Question 60727
If m is slope of a line, the perpendicular line
has slope = -(1/m)
{{{m = 3/5}}}
{{{m[2] = -5/3}}}
{{{(y[2] - y[1]) / (x[2] - x[1]) = m[2]}}}
{{{(5-3) / (x - 4) = -(5/3)}}}
{{{-5*(x-4) = 6}}}
{{{-5x + 20 = 6}}}
{{{5x = 20 - 6}}}
{{{x = 14/5}}}
check it
{{{(5 - 3) / ((14/5) - 4) = -5/3}}}
{{{6 = -14 + 20}}}
{{{6 = 6}}}
OK