1. The problem asks which lines have the same slope as the line given by the equation $y = 3x + 9$. 2. Recall that the slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. For the line $y = 3x + 9$, the slope $m$ is 3. 4. To find lines with the same slope, we look for lines where the coefficient of $x$ is also 3. 5. Checking each option: - $y = 3x + 2$ has slope 3. - $y = -3x + 9$ has slope -3. - $y = 7x + 2$ has slope 7. - $y = 7x + 9$ has slope 7. - $y = 3x - 9$ has slope 3. - $y = 3x$ has slope 3. 6. Therefore, the lines with the same slope as $y = 3x + 9$ are: $$y = 3x + 2, \quad y = 3x - 9, \quad y = 3x$$ These lines are all parallel to the original line because they share the same slope.