Question

What equation represents the graphed function

Answer 1

Answer:
`y=(-1)/(3)x+3`

Explanation:

The equation of ab line that passes through two points (a,b) and (c,d) is given by :-

`(y-b)=(d-c)/(b-a)(x-a)`

From the given picture , the line is passing through points (0,3) and (3,2).

Then, the equation of the line will be :-

`(y-3)=(2-3)/(3-0)(x-0)`

`\Rightarrow y-3=(-1)/(3)x`

`\Rightarrow y=(-1)/(3)x+3`

Hence, the required equation of the line that represents the graphed function :
`y=(-1)/(3)x+3`

Answer 2

From the graph you can see easily that the y-intercept is (0,3).

The line passes thru the 2 given points (0,3) and (3,2).
2-3
Thus, the slope of this line is m = -------- = -1/3
3- 0

and so the equation of the graphed line is y = (-1/3)x + 3.