The answer is D.
Slope intercept form is y = mx + b
m is the slope which is rise over run and b is the y-intercept.
If you look at the graph you can see where the line crosses the y-axis, and this point is the y-intercept. This point where the line crosses the y-axis, or the y-intercept, is at positive 4. Therefore you want to look for an equation that has a b value of 4.
Next, you want to find the slope. The slope is rise over run, so you can just test this by counting how high is the first point from the second (rise) and then find how far apart they are horizontally (run). So you can see that the rise is 1 and the run is 3. So the rise over run is 1/3.
Finally, you have to look at the line, to see if the slope is positive or negative. When a straight line is lower on the left it is positive, and it is lower on the right it is negative.
With this all in mind, we take our variables and put them together:
y = -1/3x + 4
The reason answer A doesn't work is because it is not in the proper form. It is not in the form of y = mx + b
