The equation of the line of best fit that Frank drew will be y = -(1/3) x + 16. Then the correct option is D.
Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]
Frank created a scatter plot and drew a line of best fit, as shown.
From the graph, the two points are taken that are (0, 16) and (3, 15).
(x₁, y₁) → (0, 16)
(x₂, y₂) → (3, 15)
Then the equation of line will be
y – 16 = -1/3(x – 0)
y = -(1/3) x + 16
Then the correct option is D.
Learn more about straight-line equations here:
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