1. **Problem 12:** Given a line graph with a positive slope, how does changing the slope to 2 affect the graph? 2. The slope of a line determines its steepness and direction. A positive slope means the line rises from left to right (uphill). 3. Increasing the slope from a positive value less than 2 to 2 makes the line steeper but still uphill. 4. Therefore, the correct answer is **C. Its steepness increases.** 5. **Problem 13:** If the x-intercept is changed to 0 and the y-intercept remains the same, which quadrant will the graph not pass through? 6. The x-intercept at 0 means the line crosses the x-axis at the origin. 7. With a positive slope and y-intercept positive, the line passes through quadrants I and III. 8. Changing the x-intercept to 0 means the line passes through the origin, so it will not pass through quadrant III (bottom-left). 9. Therefore, the correct answer is **B. the third.** 10. **Problem 14:** If the y-intercept is changed to 6 and the x-intercept remains the same, which quadrant will the graph not pass through? 11. Increasing the y-intercept to 6 shifts the line up, keeping the x-intercept the same. 12. With a positive slope, the line passes through quadrants I and II. 13. It will not pass through quadrant IV (bottom-right). 14. Therefore, the correct answer is **B. the second.**