Question 1143408
<pre>
{{{y - 4 = -(x - 6)}}}
Since 
{{{y - y[1] = m(x - x[1])}}} has slope m, and since
{{{y - 4 = -(x - 6)}}} is equivalent to
{{{y - 4 = -1(x - 6)}}}, then m = -1 the slope of the given line.
The slope of a line perpendicular to a line with slope m is {{{-1/m}}}.
So the line we want has slope {{{-1/(-1)}}} or 1
{{{y - y[1] = m(x - x[1])}}}
we substitute (x<sub>1</sub>, y<sub>1</sub>) = (-2, -2) and m = 1:
{{{y - (-2) = 1(x - (-2)^"")}}}
{{{y + 2 = x + 2}}}
Subtract 2 from each side:
{{{y=x}}}

Below the red line is the given line {{{y - 4 = -(x - 6)}}}
and the green line is the one we found {{{y=x}}}

{{{graph(400,400,-10,10,-10,10,-x+10,x)}}}

Edwin</pre>