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