ben9510
contestada

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 y3x1 By3x1 Cy3x1 D y3x1 class=

Respuesta :

jodiethewerid
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

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

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

[tex]y-2=\frac{-1-2}{0-(-1)}(x-(-1))[/tex]

[tex]y-2=-3(x+1)[/tex]

[tex]y-2=-3x-3[/tex]

[tex]y=-3x-3+2[/tex]

[tex]y=-3x-1[/tex]

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

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