https://file.aiquickdraw.com/mathbot/file/1729121486058mh4nwrnp.jpg

Let's work through the steps based on the image:

### (a) Choose the correct scatter plot:
The table of values provided is:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
1.2 & 8.2 \\
1.8 & 6.6 \\
2.3 & 6.6 \\
3.5 & 5.7 \\
4.1 & 2.6 \\
\hline
\end{array}
\]

Looking at the scatter plots:
- Scatter plot **A** correctly reflects the points. 
  - The values of \(x\) range from about 1.2 to 4.1.
  - The values of \(y\) range from 2.6 to 8.2.
- Scatter plots **B**, **C**, and **D** do not match the data, either in scale or positioning.

Thus, **scatter plot A** is the correct answer.

---

### (b) Find the equation of the line, in slope-intercept form:
You're asked to find the equation of a line passing through the points \((2.3, 6.6)\) and \((1.8, 6.6)\).

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated by:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

For the points \((2.3, 6.6)\) and \((1.8, 6.6)\):
\[
m = \frac{6.6 - 6.6}{2.3 - 1.8} = \frac{0}{0.5} = 0
\]

Since the slope is 0, the line is horizontal, and the equation of the line is simply:

\[
y = 6.6
\]

This is the equation in slope-intercept form.

---

Would you like further clarification on this, or would you like to discuss the remaining parts of the question? Below are a few related questions for additional practice:

1. What would the equation of the line be if the slope was non-zero?
2. How do you graph a vertical line using only the \(x\)-coordinates?
3. Can you determine the slope if given two points where \(y_2 \neq y_1\)?
4. How would you determine the slope if the coordinates included decimal values with negative signs?
5. How can you derive the intercept of a line using its equation?

**Tip**: When the slope is 0, it means the line is horizontal, and all points on the line have the same \(y\)-value.

(a) Draw a scatter plot of the data. (b) Find the equation of the line, in slope-intercept form, containing the points (2.3,6.6) and (1.8,6.6). (c) Graph the line found in part (b) on the scatter plot. x: [1.2, 1.8, 2.3, 3.5, 4.1], y: [8.2, 6.6, 6.6, 5.7, 2.6]

This exercise involves plotting a scatter plot from the data points (x: [1.2, 1.8, 2.3, 3.5, 4.1], y: [8.2, 6.6, 6.6, 5.7, 2.6]), finding the equation of the line that passes through the points (2.3,6.6) and (1.8,6.6), and graphing it. The problem highlights key algebra concepts and graphing skills suitable for students in grades 8-10.

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