Question

Which equation describes this line?

Answer 1

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

Explanation:

We have been given graph of a line on coordinate plane. We are asked to find the equation of our given line.

First of all, we will find slope of our line using points
`(-2,3)\text{ and }(1,9)` in slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

`m=(9-3)/(1-(-2))`

`m=(6)/(1+2)`

`m=(6)/(3)`

`m=2`

We can see that our given equations are in point-slope form of equation:
`(y-y_1)=m(x-x_1)`, where,

m = Slope,

`(x_1,y_1)` = Coordinates of point on line.

We can get two equations of our line in point-slope form as:

`(y-3)=2(x--2)`

`(y-3)=2(x+2)` or

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

Upon looking at our given choices, we can see that option B is the correct choice.