First, ignore the inequality symbols and graph the equation normally. Taking random values of x, you get corresponding values of y. Plot the y values against x. The line is graphed as shown in the picture.
Next, you test the inequality. Choose any random point in the graph that is not along the line. Suppose the point is at (2,0). Substituting to the equation
y≤2/3x+1
0 ? 2/3(2) + 1
0 ≤ 2.333
It makes the given equation true. This means point (2,0) and everything in that area under the line are part of the solution. So, we shade this part which means all points within that area are part of the solution.
