Question 920050
Line 1 
 x y 
–6 3 
 3 6 m ={{{(y[1] - y[2])/(x[1] - x[2] )}}} = -3/-9 = 1/3
y - 6 = (1/3)(x-3)
y = (1/3)x + 5
........
 Line 2 
 x y 
–3 1 
 3 3 m ={{{(y[1] - y[2])/(x[1] - x[2] )}}} = -2/-6 = 1/3
y - 3 = (1/3)(x-3)
y = (1/3)x + 2
Same Slope. y-intercept of Line1 = 5 and Intercept of Line2 = 2.
 Lines are Parallel.  NO Solution 
{{{drawing(300,300,   -8, 6, -6, 6, grid(1), 
graph( 300, 300, -8, 6, -6, 6,0,(1/3)x + 5, (1/3)x + 2) )}}}