This question asks which equation best fits the data shown in the scatter plot. Let’s break it down:

The data in the scatter plot appears to follow a negative linear trend (as $x$ increases, $y$ decreases). This suggests the slope of the line is negative. Among the answer choices:

1. $y = (-6.8)x + 72$ (A): This equation has a negative slope, which aligns with the trend of the data. The intercept is $72$, matching the starting point when $x = 0$.

2. $y = -6.8x + 72$ (B): This is written without parentheses but is mathematically identical to (A). It also matches the observed trend and starting point.

3. $y = 6.8x + 72$ (C): This equation has a positive slope, which contradicts the decreasing trend in the scatter plot.

4. $y = 6.8^x + 72$ (D): This suggests an exponential relationship, which is not appropriate for the linear trend observed.

Correct Answer: (B) $y = -6.8x + 72$

Would you like a more detailed explanation or help verifying the calculations?

5 Related Questions

1. How do you calculate the slope of a line from a scatter plot?
2. What does the $y$-intercept represent in a linear equation?
3. How can you determine if a trend is linear or exponential?
4. What are common methods to fit a line to scatter plot data?
5. Why is it important to use the correct slope sign for linear equations?

Tip:

When analyzing scatter plots, always look at the overall trend (increasing, decreasing, or no change) to help identify the slope's sign.