Got it! Let's calculate the slopes for the segments ABC and CDE, using the provided points.
For Points A, B, and C:
- Point A: \( (3, 2) \)
- Point B: \( (3, 6) \)
- Point C: \( (9, 6) \)
Slope of Segment AB:
- Since both A and B have the same x-coordinate, the line segment AB is vertical, and thus the slope is undefined.
Slope of Segment BC:
- Points B and C have:
- \( B(3, 6) \)
- \( C(9, 6) \)
Using the slope formula:
\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 6}{9 - 3} = \frac{0}{6} = 0
\]
So, the slope of segment BC is \(0\) (horizontal line).
For Points C, D, and E:
- Point C: \( (9, 6) \)
- Point D: \( (9, 8) \)
- Point E: \( (12, 8) \)
Slope of Segment CD:
- The points have:
- \( C(9, 6) \)
- \( D(9, 8) \)
Since both points C and D have the same x-coordinate, the line segment CD is vertical, and therefore, the slope is undefined.
Slope of Segment DE:
- Points D and E have:
- \( D(9, 8) \)
- \( E(12, 8) \)
Using the slope formula:
\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 8}{12 - 9} = \frac{0}{3} = 0
\]
So, the slope of segment DE is \(0\) (horizontal line).
Summary:
-
For the points A, B, and C:
- Slope of AB: undefined
- Slope of BC: 0
-
For the points C, D, and E:
- Slope of CD: undefined
- Slope of DE: 0
If you have any further questions or need additional clarifications, feel free to ask!