The easiest way to draw this graph, which is a straight line, is to plug in x=0, so y=1, and the point (0,1) is the y-intercept. Mark this point on the y-axis. Now plug in y=0, 0=-⅔x+1, ⅔x=1, x=3/2 or 1½. The point (3/2,0) is the x-intercept so mark this point on the x-axis.
Draw a line passing through these two points and you get the graph.