The equation of the line of best fit that Brianna drew is: c. y = 2x + 5
Recall:
- Line of best of fit of the line shown in the scatter plot can be found by finding the slope (m) and the y-intercept (b) of the line then substituting each value into y = mx + b.
Thus:
Slope of a line (m) = change in y/change in x
- From the scatter plot given,
Change in y = 2 units
Change in x = 1 unit
Slope = 2/1 = 2
The y-intercept is the point where the line of best fit intercepts the y-axis which is at y = 5.
y-intercept (b) = 5
Substitute b = 5 and m = 2 into y = mx + b
y = 2x + 5
- Therefore, the equation of the line of best fit that Brianna drew is: c. y = 2x + 5
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