Questions: Which equation could represent the line of best fit for this data? y=6x y=x+6 y=2/3x+9 y=3x+6 y=1/3x+9 y=9x+3

Transcript text: Which equation could represent the line of best fit for this data? $y=6 x$ $y=x+6$ $y=\frac{2}{3} x+9$ $y=3 x+6$ $y=\frac{1}{3} x+9$ $y=9 x+3$

Solution

Solution Steps

Step 1: Identify the general trend of the scatter plot

The scatter plot shows a positive linear trend, meaning as the x-values increase, the y-values also increase.

Step 2: Estimate the slope of the line of best fit

By observing the scatter plot, we can estimate the slope. The points seem to rise by about 3 units for every 1 unit increase in x. This suggests a slope of approximately 3.

Step 3: Estimate the y-intercept of the line of best fit

The y-intercept is where the line crosses the y-axis (when x = 0). By extending the trend line back to the y-axis, it appears to cross around y = 6.