Raul graphed a line on the coordinate plane.


What are the equation and slope of the line?
A.y=6
 ; slope is −16

B.x=6
 ; slope is zero
C.y=6
 ; slope is 6

D.x=6
 ; slope is undefined

The options suggest that the line Raul graphed is either a horizontal or vertical line.

- **Option A:**
  \( y = 6 \) is a horizontal line with a constant \( y \)-value of 6. Horizontal lines have a slope of 0, not -16.

- **Option B:**
  \( x = 6 \) is a vertical line where the \( x \)-value is always 6. Vertical lines have an undefined slope, not zero.

- **Option C:**
  \( y = 6 \) is a horizontal line with a slope of 0, not 6.

- **Option D:**
  \( x = 6 \) is a vertical line, and vertical lines do indeed have an undefined slope.

**Correct answer:**  
**D: \( x = 6 \); slope is undefined**  
This is because vertical lines have an undefined slope.

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the equation of a line with a slope of 0?
2. How do you find the slope of a line from its equation?
3. What does it mean for a slope to be undefined?
4. Can a vertical line have a positive or negative slope?
5. How would you graph the line \( y = 6 \) on the coordinate plane?

**Tip:** A vertical line on a graph has the same \( x \)-value for all points, leading to an undefined slope!

Raul graphed a line on the coordinate plane. What are the equation and slope of the line? A. y=6; slope is −16 B. x=6; slope is zero C. y=6; slope is 6 D. x=6; slope is undefined

Explore the properties of vertical and horizontal lines through Raul's graph. Learn why the equation x=6 represents a vertical line with an undefined slope and how y=6 represents a horizontal line. This topic covers coordinate geometry concepts for Grades 7-9.

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