Question 390236
   <pre><font size = 3 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
Line parallel to 6x-3y = 9  OR y = 2x - 3 (blue line)   slope m = 2
parallel line have identical slopes.  thus new line:
y = 2x + b  using ordered pair pt(-4,8) to solve for b
8 = 2*(-4) + b
 16 = b
y = 2x + 16  Green line
{{{drawing(300,300, -20,20,-20,20,
 grid(1),
circle(-4, 8,0.9),
graph( 300, 300, -20,20,-20,20,0, 2x+16, 2x-3))}}}