Question 838319
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Line Through (2, 6); 
<u>perpendicular</u> to 2x -3y = 12 Or {{{ y = highlight(2/3)x - 4}}} (Green Line)
Slope New Line is {{{highlight_green(-3/2)}}}
Using point-slope form, {{{y - y[1] = m(x - x[1])}}}
{{{ y - 6 = highlight_green(-3/2)(x -2)}}}
in slope-intercept form:
  y - 6 = (-3/2)x + 3
    y = (-3/2)x + 9  (Blue Line)

{{{drawing(300,300,   -10,10,-10,10,  
 grid(1),
circle(2,6,0.4),
graph( 300, 300, -10,10,-10,10,0,(2/3)x - 4, -1.5x + 9))}}}