Question

Graph the function.

For the function whose graph is shown below, which is the correct formula for the function?

A: y=3x-1
B:y=3x+1
C:y=-3x+1
D: y=-3x-1

Answer 1

the answer is totally D

Answer 2

The correct option is D.

Explanation:

If a line passing through two points, then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

From the given graph it is clear that the line is passing through the points (-1,2) and (0,-1), so the equation of line is

`y-2=(-1-2)/(0-(-1))(x-(-1))`

`y-2=-3(x+1)`

`y-2=-3x-3`

`y=-3x-3+2`

`y=-3x-1`

The correct formula for the function is y=-3x-1, therefore the correct option is D.