Let's solve the problem step by step.
The task is to
identify the slope of each line shown in the 9 graphs as
positive, negative, zero, or undefined.
---
🔍 Understanding Slope Types:
-
Positive slope: Line goes
uphill from left to right (rises).
-
Negative slope: Line goes
downhill from left to right (falls).
-
Zero slope: Line is
horizontal (flat).
-
Undefined slope: Line is
vertical (straight up and down).
---
Now let’s analyze each graph one by one:
---
🟦 Graph A
- The line goes from bottom-left to top-right.
- It rises as it moves right →
Positive slope
✔ Answer: Positive
---
🟦 Graph B
- The line goes from top-left to bottom-right.
- It falls as it moves right →
Negative slope
✔ Answer: Negative
---
🟦 Graph C
- The line is vertical (goes straight up and down).
- Vertical lines have
undefined slope
✔ Answer: Undefined
---
🟦 Graph D
- The line goes from top-left to bottom-right.
- Falls as it moves right →
Negative slope
✔ Answer: Negative
---
🟦 Graph E
- The line is horizontal (flat).
- Horizontal lines have
zero slope
✔ Answer: Zero
---
🟦 Graph F
- The line goes from bottom-left to top-right.
- Rises as it moves right →
Positive slope
✔ Answer: Positive
---
🟦 Graph G
- The line is vertical.
- Vertical lines have
undefined slope
✔ Answer: Undefined
---
🟦 Graph H
- The line goes from top-left to bottom-right.
- Falls as it moves right →
Negative slope
✔ Answer: Negative
---
🟦 Graph I
- The line is horizontal.
- Horizontal lines have
zero slope
✔ Answer: Zero
---
✔ Final Answers:
| Graph | Slope Type |
|-------|----------------|
| A | Positive |
| B | Negative |
| C | Undefined |
| D | Negative |
| E | Zero |
| F | Positive |
| G | Undefined |
| H | Negative |
| I | Zero |
---
You can now fill these answers into the blanks under each graph on the worksheet.
Let me know if you'd like a printable version or explanation with visual cues!
Parent Tip: Review the logic above to help your child master the concept of slope of the line worksheet.