Types of Slope Worksheets - Free Printable

Let’s solve this step by step.

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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 (flat).
- Undefined slope: vertical line (straight up and down).

Now let’s go one by one:

1) Graph 1: Line goes up from left to right → positive

2) Graph 2: Line goes down from left to right → negative

3) Graph 3: Horizontal line → zero

4) Graph 4: Vertical line → undefined

5) Graph 5: Line goes up from left to right → positive

6) Graph 6: Line goes down from left to right → negative

✔ Part A Answers:
1) positive
2) negative
3) zero
4) undefined
5) positive
6) negative

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

We don’t actually draw here, but we can figure out the slope type by looking at how x and y change between the two points.

Recall:
- If y increases while x increases → positive
- If y decreases while x increases → negative
- If y stays same → zero
- If x stays same → undefined

Let’s check each:

1) Points: (10, 15) and (-15, 15)

→ y-values are both 15 → no change in y → horizontal line → zero slope

2) Points: (-4, 6) and (2, -18)

→ x goes from -4 to 2 → increasing
→ y goes from 6 to -18 → decreasing
→ so line goes down from left to right → negative slope

3) Points: (-10, 8) and (-10, -12)

→ x is same (-10) → vertical line → undefined slope

✔ Part B Answers:
1) zero
2) negative
3) undefined

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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