The graphs of the two equations are parallel lines.
Work Step by Step
RECALL: (1) In the slope-intercept form of a line's equation, $y=mx+b$, $m$=slope and $b$ is the y-coordinate of the y-intercept. (2) Parallel lines have equal or the same slope. Write both equations in slope-intercept form to obtain: First Equation: $y+9=3x \\y+9-9=3x-9 \\y=3x-9$ Second Equation: $3x-y=-2 \\3x-y+y+2=-2+y+2 \\3x+2=y \\y=3x+2$ Note that both equations have the same slope $m=3$ . Since they have the same slope, then their graphs are parallel lines.