Question

The slope of the function in the graph is:

*blank 1*
*blank 2*
or equal to

*blank 3*



Blank 1 is the rise blank 2 is the run and blank 3 is what they're equal too

Options for blank 1
A 5
B 4
C 9
D 11

Options for blank 2

A 4
B 11
C 9
D 5

Options for blank 3


A 1.2

B 0.8

C 0.81

D 1.25

Answer 1

To find the slope of a function, we use the formula:

\[ \text{slope} = \frac{\text{rise}}{\text{run}} \]

Let's denote "rise" as Blank 1 and "run" as Blank 2. Then, the slope can be expressed as:

\[ \text{slope} = \frac{\text{Blank 1}}{\text{Blank 2}} \]

Now, for Blank 3, we need to calculate the slope based on the values chosen for Blank 1 and Blank 2.

Let's analyze the options:

1. **Choose a value for Blank 1 (rise)**:
- A 5
- B 4
- C 9
- D 11

2. **Choose a value for Blank 2 (run)**:
- A 4
- B 11
- C 9
- D 5

Next, let's calculate the slope using combinations of these blank values and match them to the possible options for Blank 3:

- **If Blank 1 = 5 (rise) and Blank 2 = 4 (run)**:
- Slope = \( \frac{5}{4} = 1.25 \)

- **If Blank 1 = 5 (rise) and Blank 2 = 5 (run)**:
- Slope = \( \frac{5}{5} = 1 \)

- **If Blank 1 = 4 (rise) and Blank 2 = 4 (run)**:
- Slope = \( \frac{4}{4} = 1 \)

- **If Blank 1 = 9 (rise) and Blank 2 = 11 (run)**:
- Slope = \( \frac{9}{11} \approx 0.8181 \)

- **If Blank 1 = 11 (rise) and Blank 2 = 11 (run)**:
- Slope = \( \frac{11}{11} = 1 \)

- **If Blank 1 = 4 (rise) and Blank 2 = 5 (run)**:
- Slope = \( \frac{4}{5} = 0.8 \)

- **If Blank 1 = 9 (rise) and Blank 2 = 5 (run)**:
- Slope = \( \frac{9}{5} = 1.8 \)

Based on the calculated slopes, we can fill in the blanks:

- For Blank 1 (rise) and Blank 2 (run), we can select:

**Blank 1 = A (5)** and **Blank 2 = A (4)** makes **Blank 3 = D (1.25)**.

So the final answer is:

- **Blank 1**: A (5)
- **Blank 2**: A (4)
- **Blank 3**: D (1.25)