The equation of the line will be y = 2/3 x + 4.
What is the equation of a line passing through two points?
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) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
George is drafting his dissertation paper for his doctoral program.
The graph below shows the line of best fit for the data recorded on the number of pages of the dissertation writing as a function of the number of hours George spends on the draft each week.
(x₁, y₁) → (0, 4)
(x₂, y₂) → (6, 2)
Then the equation of the line will be
y - 4 = [(6 - 4) / (3 - 0)] (x - 0)
y - 4 = 2/3 x
y = 2/3 x + 4
Then the correct option is D.
Learn more about straight-line equations here:
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