Question

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

Answer 1

Answer: The equation describes the line is,

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

Explanation:

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

`y-y_1 = (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=(3-9)/(-2-1)(x-1)`

`y-9=(-6)/(-3)(x-1)`

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

⇒ Option D is correct.