Answer: The correct answer is F. y = -1/3x +4
Step-by-step explanation:
Looking at the graph and all the answer choices, we automatically know that we have a y-intercept of 4. So, starting at the origin (0,0), we go up 4 units to (0,4). This much is self explanatory.
Now Looking at either the point above the y-intercept or the point below, we know that we will either be going up one unit and to the left three units (for the point above the y-intercept), or down one unit and to the right three units (for the point below the y-intercept).
Because slope intercept form uses "rise over run", we know that this means the slope is 1/3, and since the line is going in the negative direction, we have a negative slope and therefore a negative 1/3.
If we put this together to create our y = mx + b, we will get -1/3x +4.