Question 1050076
Need to Know:
the standard slope-intercept form for an equation of a line is  where m is the slope and b the y-intercept,
 {{{y = highlight_green(m)x + highlight(b)}}} 
line perpendicular to y= (2/3)x , m = (2/3) Green Line
passing through (6,6) 
m = (-3/2) Negative reciprocal of 2/3
y - 6 = (-3/2)(x - 6)  ***Using point-slope form, {{{y - y[1] = highlight_green(m)(x - x[1])}}}
y = (-3/2)x + 15 Blue Line
{{{drawing(300,300,    -10,10,-10,10, 
 grid(1),
circle(0, 0,0.4),
circle(6,6,0.4),
graph( 300, 300, -10,10,-10,10,0, (2/3)x, (-3/2)x + 15 ))}}}