HELP PLEASE! 10 POINTS Which function is graphed?

The answer would be

Step-by-step explanation:

    The question is basically asking for the slope intercept form and is equal to . So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply . In the equation will equal the slope or the rise over run and will equal the y-intercept and that is all we need to solve this equation.

    If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get .

    Now we will find the slope or . First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get as our slope, but we could simplify this to just 2 so we would get as our .  

    We have solved all of the parts and now we can put it together. So first we would do f of x or which means function and than we would put and finally we would put our . When we put that all together we would get .

   To check you could just graph this and you would get:

P.S. The f(x) turned into a y in the process:)