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To graph the linear function y = -3x + 8, we need to plot a few points on the coordinate plane and then connect them with a straight line.
To start, let's choose some x-values to find the corresponding y-values. We can choose any numbers, but it's usually a good idea to choose values that are easy to work with. Let's choose x = 0, 1, and -1.
When x = 0, y = -3(0) + 8 = 8. So one point on the graph is (0, 8).
When x = 1, y = -3(1) + 8 = 5. So another point on the graph is (1, 5).
When x = -1, y = -3(-1) + 8 = 11. So another point on the graph is (-1, 11).
Now, we can plot these three points on the coordinate plane:
(0, 8), (1, 5), and (-1, 11).
Next, we can connect these points with a straight line to show the linear function: