To solve this problem, we can determine the slope and y-intercept of the line formed by the data points. The equation of a line is given by:

$y = mx + b$

where $m$ is the slope and $b$ is the y-intercept. Let's follow these steps:

Step 1: Calculate the slope $m$

The slope $m$ is calculated using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

We can choose any two points from the table to calculate the slope. Let's pick the first two points:

• Point 1: (5, 32)
• Point 2: (10, 27)

Now, calculate the slope:

$m = \frac{27 - 32}{10 - 5} = \frac{-5}{5} = -1$

So, the slope $m$ is $-1$.

Step 2: Find the y-intercept $b$

To find the y-intercept, we can use the slope-intercept form of the line $y = mx + b$. We already know the slope $m = -1$, so we substitute a point from the table to find $b$.

Using Point 1: (5, 32):

$32 = (-1)(5) + b$ $32 = -5 + b$ $b = 32 + 5 = 37$

So, the y-intercept $b$ is 37.

Step 3: Select the correct option

From the calculations, the slope is $-1$ and the y-intercept is 37. The correct choice is:

$\boxed{B. \text{slope} = -1, \text{y-intercept} = 37}$

Let me know if you want any further explanation or have more questions!

Here are 5 relative questions:

1. How does changing the slope affect the steepness of the line?
2. How would the line look if the y-intercept were negative?
3. Can you explain what the y-intercept represents in a real-world context?
4. How do you interpret the meaning of the slope in this scenario?
5. What happens to the line if the weight increases beyond 15?

Tip: Always double-check your slope by using different pairs of points to ensure accuracy!