Which equation below describes the Line of Best Fit for this graph. Use the points (4,40) and (17,170) to help you determine this.

To determine the equation of the Line of Best Fit using the points (4, 40) and (17, 170), we can follow these steps:

1. Find the slope (m) of the line using the formula:

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

Using the points (4, 40) and (17, 170):

• \( (x_1, y_1) = (4, 40) \)
• \( (x_2, y_2) = (17, 170) \)

\[ m = \frac{170 - 40}{17 - 4} = \frac{130}{13} = 10 \]

2. Use the point-slope form of the equation of a line, which is given by:

\[ y - y_1 = m(x - x_1) \]

Using one of the points, we can plug in \( m = 10 \) and let’s use (4, 40):

\[ y - 40 = 10(x - 4) \]

3. Distributing and simplifying:

\[ y - 40 = 10x - 40 \] \[ y = 10x \]

The equation of the Line of Best Fit for the graph using the given points is:

\[ y = 10x \]