Let’s go through each graph one by one and figure out the slope type: positive, negative, zero, or undefined.
Remember:
-
Positive slope → line goes UP as you move from left to right (like climbing a hill).
-
Negative slope → line goes DOWN as you move from left to right (like sliding down).
-
Zero slope → horizontal line (flat, no rise).
-
Undefined slope → vertical line (straight up/down — can’t calculate slope because there’s no run).
Now let’s look at each numbered graph:
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Graph 1: Line goes from bottom-left to top-right → rising →
positive
Graph 2: Line goes from top-left to bottom-right → falling →
negative
Graph 3: Horizontal line → flat →
zero
Graph 4: Vertical line → straight up/down →
undefined
Graph 5: Vertical line → straight up/down →
undefined
Graph 6: Line goes from bottom-left to top-right → rising →
positive
Graph 7: Line goes from bottom-left to top-right → rising →
positive
Graph 8: Horizontal line → flat →
zero
Graph 9: Line goes from top-left to bottom-right → falling →
negative
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Let me double-check each one quickly:
1. Rising? Yes → positive
✔
2. Falling? Yes → negative
✔
3. Flat? Yes → zero
✔
4. Vertical? Yes → undefined
✔
5. Vertical? Yes → undefined
✔
6. Rising? Yes → positive
✔
7. Rising? Yes → positive
✔
8. Flat? Yes → zero
✔
9. Falling? Yes → negative
✔
All match!
Final Answer:
1. positive
2. negative
3. zero
4. undefined
5. undefined
6. positive
7. positive
8. zero
9. negative
Parent Tip: Review the logic above to help your child master the concept of slope y intercept worksheet.