Question

Use information from number 3 to answer the following:
Extend your trend line so that it crossed the y-axis. Determine the y-intercept.

Determine the order pairs of two of the points that your trend line is passing through. Find the slope using the two points and the formula.




Write your equation in y=mx+b form.
Equation of trend line:

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Answer 1

To provide you with a thoroughly answer, I'll need to make some assumptions since I don’t have access to specific data from "number 3."

Let’s assume you have a trend line from a scatter plot with several data points. Here's how you can compute the y-intercept, slope, and write the equation in the form \(y = mx + b\):

1. **Extend the trend line to cross the y-axis**: To find the **y-intercept**, you'll look at where the trend line crosses the y-axis. This typically happens when \(x = 0\). The value of \(y\) at this point is the y-intercept (b).

2. **Determine the ordered pairs of two points**: Assume that two points on your trend line are:
- Point 1: \( (x_1, y_1) \)
- Point 2: \( (x_2, y_2) \)

3. **Calculate the slope (m)**: The slope is calculated using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

4. **Write the equation in \(y = mx + b\) form**: Once you have the slope (m) and the y-intercept (b), you can write the equation.

### Example

Let’s assume:
- Points are \( (2, 3) \) and \( (4, 7) \)
- Y-intercept is \( 1 \)

1. **Calculate the slope**:
\[
m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2
\]

2. **Write the equation**:
\[
y = 2x + 1
\]

### Final Answer

The equation of the trend line is:
\[
\boxed{y = 2x + 1}
\]

Please replace the example with actual data points and y-intercept as per your specific case.