please help me solve this

The slope-intercept form is a way of describing a line that is designed to make two pieces of information immediately available: the slope (m), and the y-intercept (b). You will need these to pieces of information to put the line in slope-intercept form: y=mx + b

The y-intercept (b) is already given to you: 1/3.

The only remaining task is to find the slope (m). The slope of any line can be found just by using two points on that line, using the formula (y_{2}-y_{1})/(x_{2}-x_{1}). The two points we are given are the x-intercept, (2,0), and the y-intercept, (0, 1/3). Plugging this into the slope formula, we get (1/3 - 0)/(0 - 2), which is equal to (1/3)/(-2), which in turn equals -1/6.

Now we just plug our slope (m) and y-intercept (b) into the slope-intercept form (y=mx+b). From this, we get y = (-1/6) x + 1/3.