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

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 class=

Verified Answer :

the answer is totally D

Answer:

The correct option is D.

Step-by-step explanation:

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

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

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

\(y-2=\frac{-1-2}{0-(-1)}(x-(-1))\)

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

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

\(y=-3x-3+2\)

\(y=-3x-1\)

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