Question 838286
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Line Through (-3, 8); 
<u>perpendicular</u> to -3x + 4y = -23  Or {{{ y = highlight(3/4)x - 23/4}}} (Green Line)
Slope New Line is {{{highlight_green(-4/3)}}}
Using point-slope form, {{{y - y[1] = m(x - x[1])}}}
{{{ y - 8 = highlight_green(-4/3)(x + 3)}}}
in slope-intercept form:
  y - 8 = (-4/3)x - 4
    y = (-4/3)x + 4  (Blue Line)

{{{drawing(300,300,   -10,10,-10,10,  
 grid(1),
circle(-3, 8,0.4),
graph( 300, 300, -10,10,-10,10,0,.75x - 23/4, (-4/3)x + 4))}}}