Why equation is represented by the equation on the graph

Option D

Step-by-step explanation:

The equation of the line, by definition, has the following form:

y=mx+b

Where m is the slope and b  is the y-intercept

As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.

Now, to find the slope, choose any point of the line and solve for m:

Point (1,1)

1=m(1)+2

-1=m

Then, the equation is:

y=-x+2