The problem does not give the slope directly. But it shows two points on the line. The y-intercept is the point where x=0. So that point is (0,2/3). The x-intercept is the point where y=0. So that point is (2,0). Use those points to find the slope change in y / change in x.

(2/3 - 0) / (0-2) = 2/3 / -2 = - 2/6 = -1/3

y = -1/3 x + 2/3

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