1. **State the problem:** We start with the line $y = x$ and transform it into $y = 3x + 6$. We need to find the slope and y-intercept of the new line, describe how the slope changes (steeper or flatter), and determine if the line is shifted upward or downward. 2. **Recall the slope-intercept form:** The equation of a line in slope-intercept form is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and y-intercept of the original line:** For $y = x$, the slope $m = 1$ and the y-intercept $b = 0$. 4. **Identify slope and y-intercept of the new line:** For $y = 3x + 6$, the slope $m = 3$ and the y-intercept $b = 6$. 5. **Compare slopes:** The slope changed from $1$ to $3$. Since $3 > 1$, the slope is steeper. 6. **Compare y-intercepts:** The y-intercept changed from $0$ to $6$. Since $6 > 0$, the line is shifted upward by $6$ units. **Final answers:** - Slope is $3$. - The line is shifted upward. - The slope is steeper. Therefore, the blanks are filled as: Slope is 3 and the line is shifted upward.