Question

Which equation represents the graphed function

Answer 1

Explanation:

DDD

Answer 2

You can either use the usual formula for the equation of a line when given two points
`(x_1,y_1),\ (x_2,y_2)`

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

Or we can make some more precise reasoning, specific to this case: the y intercept is 3. When a line is written as
`y=mx+q`, the coefficient q is the y intercept. So, the second and third options are surely wrong.

Moreover, the slope m is the ratio between the difference bewteen the y coordinates and the x coordinates of two points on the line.

In our case, the two points differ by -1 units vertically, and 3 units horizontally. This implies that the slope is -1/3.

So, we have

`y=mx+q,\quad m=-(1)/(3),\quad q=3\implies y=-(1)/(3)x+3`