Question

Using the table bellow fill in the blanks

X 0 3 6 9
Y 5.5 11.5 17.5 23.5

The slope function is *blank 1*

The y intercept of the function is *blank 2* *blank 3*

Options for blank 1

A 1/2
B 1/3
C 2
D 3

Options for blank 2
A 9
B 0
C 3
D 6

Options for blank 3

A 17.5
B 11.5
C 5.5
D 23.5

Answer 1

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:
1. **blank 2**: **C 5.5**
2. **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).