Let’s go through each graph one by one and figure out the type of slope.
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Graph 1:
The line is horizontal — it goes straight left to right, never going up or down.
When a line is flat like this, its slope is
zero.
Why? Because there’s no rise (change in y) — only run (change in x). Slope = rise/run = 0 / anything = 0.
→ So, Graph 1:
Zero
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Graph 2:
This line is vertical — it goes straight up and down.
Vertical lines have
undefined slope.
Why? Because there’s no run (change in x) — you’d be dividing by zero when calculating slope (rise/0), which is undefined.
→ So, Graph 2:
Undefined
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Graph 3:
This line goes from top-left to bottom-right. As x increases, y decreases.
That means the slope is
negative.
You can think of it as “going downhill” from left to right.
→ So, Graph 3:
Negative
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Graph 4:
This line goes from bottom-left to top-right. As x increases, y also increases.
That means the slope is
positive.
Think of it as “going uphill” from left to right.
→ So, Graph 4:
Positive
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Final Answer:
1) Zero
2) Undefined
3) Negative
4) Positive
Parent Tip: Review the logic above to help your child master the concept of slope practice worksheet.