4-7 Absolute Value and Distance — Practice Questions

1. 1. What is the distance between the points $(2, 8)$ and $(9, 8)$? The distance is ___ units.

2. 2. Find the distance between the points $(-5, -3)$ and $(-5, -10)$. The distance is ___ units.

3. 3. What is the distance between the points $(4, -8)$ and $(4, 3)$?

   • A. 5
   • B. -5
   • C. 11
   • D. -11

4. 4. Calculate the distance between the points $(-6, 1)$ and $(5, 1)$. The distance is ___ units.

5. 5. Find the distance between the points $(-11, -7)$ and $(-3, -7)$. The distance is ___ units.

6. 6. Which of the following best describes the graph of the equation $x = -5$?

   • A. A horizontal line
   • B. A vertical line
   • C. A point at the origin
   • D. A line passing through the origin

7. 7. A horizontal line passes through the point $(2, 7)$. The equation of this line is $y = \_\_\_$.

8. 8. What is the distance from the horizontal line with equation $y = -9$ to the $x$-axis? The distance is \_\_\_ units.

9. 9. What is the distance from the vertical line with equation $x = 11$ to the $y$-axis? The distance is \_\_\_ units.

10. 10. Which statement is true about the line represented by the equation $y = 6$?

    • A. It is a vertical line.
    • B. Every point on the line has an x-coordinate of 6.
    • C. It is parallel to the x-axis.
    • D. Its distance from the y-axis is 6 units.