50+ algebra worksheets for 9th Class on Quizizz | Free & Printable - Free Printable

Let's solve each of these slope problems step by step.

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Question 1:

Find the slope of the line that passes through the points (2, 4) and (6, 12).

The formula for slope $ m $ between two points $ (x_1, y_1) $ and $ (x_2, y_2) $ is:

$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$

Plug in the values:

$$
m = \frac{12 - 4}{6 - 2} = \frac{8}{4} = 2
$$

✔ Answer: C) 2

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Question 2:

Find the slope of the line.
(Graph shows a line passing through points like (-2, 3), (0, 1), (2, -1), etc.)

We can pick two points from the graph:
- Let’s use $ (-2, 3) $ and $ (2, -1) $

$$
m = \frac{-1 - 3}{2 - (-2)} = \frac{-4}{4} = -1
$$

✔ Answer: B) -1

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Question 3:

Find the slope of the line.
(Graph shows a steeper line going downward.)

Pick two points from the graph:
- Let’s say $ (-4, 4) $ and $ (0, 0) $

$$
m = \frac{0 - 4}{0 - (-4)} = \frac{-4}{4} = -1
$$

Wait — let's double-check with another point to confirm.

Try $ (-4, 4) $ and $ (4, -4) $:

$$
m = \frac{-4 - 4}{4 - (-4)} = \frac{-8}{8} = -1
$$

But wait — the options are:
A) -5/4
B) 4/5
C) 5/4
D) -4/5

Hmm. So maybe the points are different.

Let’s look more carefully.

Suppose the line goes from $ (-2, 4) $ to $ (2, -1) $?

Then:

$$
m = \frac{-1 - 4}{2 - (-2)} = \frac{-5}{4} = -\frac{5}{4}
$$

That matches option A.

Alternatively, check if it passes through $ (-4, 5) $ and $ (0, 0) $:

$$
m = \frac{0 - 5}{0 - (-4)} = \frac{-5}{4} = -\frac{5}{4}
$$

Yes! That fits.

✔ Answer: A) -5/4

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Question 4:

Find the slope when given the following points: (2, 5) and (-3, 5)

Use the slope formula:

$$
m = \frac{5 - 5}{-3 - 2} = \frac{0}{-5} = 0
$$

This is a horizontal line — slope is zero.

✔ Answer: D) 0

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Question 5:

What's the slope of the line that passes through (2, -1) and (2, -5)?

Points: $ (2, -1) $ and $ (2, -5) $

$$
m = \frac{-5 - (-1)}{2 - 2} = \frac{-4}{0}
$$

Division by zero → undefined slope

This is a vertical line, so slope is undefined.

✔ Answer: Undefined

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✔ Final Answers:

1. C) 2
2. B) -1
3. A) -5/4
4. D) 0
5. Undefined (but not listed as an option? Wait — let's check.)

Wait — Question 5 has options:

A) 4/3
B) Undefined
C) -2
D) 0

So B) Undefined is an option.

✔ Answer: B) Undefined

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✔ Summary of Answers:

1. C
2. B
3. A
4. D
5. B

Let me know if you'd like help with the rest of the quiz!