To find the equation of the line of best fit, we need to calculate the slope and y-intercept of the line.
First, we calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (−3, – 40) and (1, 12), we have:
m = (12 - (-40)) / (1 - (-3))
= 52 / 4
= 13
Now we choose any of the given points and substitute the values of x, y, and m into the equation:
y = mx + b
Using the point (1, 12):
12 = 13(1) + b
12 = 13 + b
b = 12 - 13
b = -1
Therefore, the equation of the line of best fit is:
y = 13x - 1
None of the given options matches this equation, so there may be a typo or error in the options provided.
Find the equation of the line of best fit for the points (−3, – 40), (1, 12), (5, 72), and (7, 137).
a. y = 3x + 17
b. y = 17x + 3
c. y = 3x + 1
d. y = x +
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