Types of Slope Worksheets - Free Printable

Let’s go step by step to solve each part of the worksheet.

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Part A: Identify the slope in each graph as positive, negative, zero, or undefined.

We remember:
- Positive slope: Line goes up from left to right.
- Negative slope: Line goes down from left to right.
- Zero slope: Horizontal line (no rise).
- Undefined slope: Vertical line (no run — you can’t divide by zero).

Now let’s look at each graph:

1) The line goes up from left to right → Positive

2) The line goes down from left to right → Negative

3) The line is horizontal → Zero

4) The line is vertical → Undefined

5) The line goes up from left to right → Positive

6) The line goes down from left to right → Negative

✔ All checked and correct.

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Part B: Draw a line through the given coordinates, and identify the type of slope.

We don’t need to draw — we just need to find the slope type based on the two points.

Recall:
- If x-coordinates are same → vertical line → undefined slope
- If y-coordinates are same → horizontal line → zero slope
- If both change and line goes up → positive
- If both change and line goes down → negative

1) Points: (10, 15) and (-15, 15)
→ y-values are same (15) → horizontal line → Zero

2) Points: (-4, 6) and (2, -18)
→ x increases from -4 to 2, y decreases from 6 to -18 → going down → Negative

3) Points: (-10, 8) and (-10, -12)
→ x-values are same (-10) → vertical line → Undefined

✔ All verified.

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Final Answer:
A) 1) Positive, 2) Negative, 3) Zero, 4) Undefined, 5) Positive, 6) Negative
B) 1) Zero, 2) Negative, 3) Undefined