Question 416839
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b>
Hi
Using the standard slope-intercept form for an equation of a line y = mx + b
  where m is the slope and b the y-intercept. 
 2x+3y=7   OR  y= (-2/3)x + 7/3    m = (-2/3)  
-9x+6y=8  OR  y= (9/6)x + 8/6 OR  y= (3/2)x + 8/6  m =3/2
Lines are perpendcular: (negative reciprocals, that is:  (-2/3)*3/2 = -1
{{{drawing(300,300,   -6, 6, -6, 6,   grid(1),
circle(0, 7/3,0.3),
circle(0, 4/3,0.3),
graph( 300, 300, -6, 6, -6, 6,0,(-2/3)x + 7/3,(3/2)x + 8/6 ))}}}