Question 464528
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
*[tex \LARGE\ Using \ the \ standard \ slope-intercept \ form \ for \ an \ equation \ of \ a  \ line \ y = mx + b ] 
*[tex \LARGE\ where \ m \ is \ the \ slope \ and \ b \ the \ y-intercept]
 Line parallel to the graph of 3x - y = -3 OR y = 3x + 3 (green)
Slope of the line parallel is m = 3 (identical slopes)
New line:
y = 3x+ b  |using ordered pair (4,-2) to solve for b
-2 = 12 + b
-14 = b
 y = 3x -14 (blue)
{{{drawing(300,300,-15,15,-15,15,   grid(1),
circle(4, -2,0.6),
graph( 300, 300, -15,15,-15,15,0, 3x+3, 3x-14))}}}