Question

1. calculate the mean point and plot it on your scatter plot. ( _, _ )
2. the y - intercept is (0, 35). plot it on your scatter plot and draw your line of best fit.
3. find the equation of your line of best fit using the mean point and the y - intercept. find the slope first then write your equation.

Explanation:

Step1: Recall the slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We are given that $b = 35$ (from the y - intercept point $(0,35)$).

Step2: Assume we have the mean point $(x_1,y_1)$

To find the slope $m$, we use the formula $m=\frac{y_1 - 35}{x_1-0}$ if we know the coordinates of the mean point $(x_1,y_1)$. But since the mean point coordinates are not given in the problem description (only the instruction to calculate and plot it), let's assume the general form of the line with the known y - intercept. The equation of the line of best fit in slope - intercept form is $y=mx + 35$, where $m$ would be calculated using the mean point once its coordinates are determined.

Answer:

$y = mx+35$ (where $m$ is the slope to be calculated using the mean point coordinates)