Answer: The equation describes the line is,
[tex]y-9=2(x-1)[/tex]
Step-by-step explanation:
Since, the equation of a line passes two points [tex](x_,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
[tex]y-y_1 = \frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Here, the line is passing through the points (1,9) and (-2,3),
The equation of the given line is,
[tex]y-9=\frac{3-9}{-2-1}(x-1)[/tex]
[tex]y-9=\frac{-6}{-3}(x-1)[/tex]
[tex]y-9=2(x-1)[/tex]
⇒ Option D is correct.
