Question

Which equation describes this line(1,9) (-2,3)

Answer 1

Answer: The equation describes the line is,

$y-9=2(x-1)$

Step-by-step explanation:

Since, the equation of a line passes two points $(x_,y_1)$ and $(x_2,y_2)$ is,

$y-y_1 = \frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Here, the line is passing through the points (1,9) and (-2,3),

The equation of the given line is,

$y-9=\frac{3-9}{-2-1}(x-1)$

$y-9=\frac{-6}{-3}(x-1)$

$y-9=2(x-1)$

⇒ Option D is correct.