Final answer:
The student's question involves checking if given points are on the line described by the equation y = -0.5x + 1. By substituting the coordinates into the equation, it's determined that only the point (0, 1) lies on the line.
Step-by-step explanation:
The student's question pertains to determining whether given points lie on the line y = -0.5x + 1. To verify this, one substitutes the x and y values from each point into the equation to see if the equation holds true. For instance, with the point (1, 0), substituting x = 1 and y = 0 into the equation gives 0 = -0.5(1) + 1, which simplifies to 0 = 0.5, and since this is not true, the answer is "No". Repeating this process with the point (20, -11) gives -11 = -0.5(20) + 1, which simplifies to -11 = -10 + 1, and since -11 = -9 is not true, the answer is "No" again. However, for the point (0, 1), substituting x = 0 and y = 1 into the equation gives 1 = -0.5(0) + 1, and since 1 = 1 is true, the answer is "Yes".