Final answer:
The slope-intercept form of the equation of the line that best fits the data is y = (5.8435/7)x + (290.73/7).
Step-by-step explanation:
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
In the given equation, 7y' = 5.8435x + 290.73, we can rearrange it to y' = (5.8435/7)x + (290.73/7).
So, the slope of the line is m ≈ 5.8435/7, and the y-intercept is b ≈ 290.73/7.
Therefore, the equation of the line that best fits the data is y = (5.8435/7)x + (290.73/7).