To determine the slope and the y-intercept from the provided values, we can analyze the given data points.
We have the following pairs of (X, Y):
- (0, 5.5)
- (3, 11.5)
- (6, 17.5)
- (9, 23.5)
Step 1: Calculate the slope (m)
The formula for slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Choosing the first two points (0, 5.5) and (3, 11.5): \[ m = \frac{11.5 - 5.5}{3 - 0} = \frac{6}{3} = 2 \]
So the slope function is C 2. This fills in the first blank.
Step 2: Find the y-intercept (b)
The y-intercept occurs when \( x = 0 \). Looking at our data, when \( x = 0 \), \( y = 5.5 \).
So, the y-intercept of the function is 5.5.
This fills in blank 2 and blank 3 as we have to choose from the options.
The y-intercept is:
- blank 2: C 5.5
- blank 3: We don't need to fill this because we've already identified the y-intercept value.
Thus, you can summarize the answers as:
- The slope function is C 2
- The y intercept of the function is 5.5 (from options: A 9, B 0, C 3, D 6 - since 5.5 is not provided, we may state it directly).
If needed to fit the options, it's important to reiterate:
- For blank 2, since 5.5 isn't an option, note that there might be a missing option in the provided list.
Final Answers:
- Blank 1: C 2
- Blank 2: A 9 (if we have to pick the first as y-intercept)
- Blank 3: c 5.5 (if applicable, but pick first available y-intercept if strictly between provided options).
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