Final answer:
To create a table of ordered pairs and graph the equation y=-x+1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. The ordered pairs (0, 1) and (1, 0) represent two points on the line y=-x+1. Plotting these points and joining them with a straight line gives us the graph of the equation.
Step-by-step explanation:
To create a table of ordered pairs for the equation y = -x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. Let's choose x=0, x=1, and x=2. When x=0, y=-0+1 which gives us y=1, so one ordered pair is (0, 1). When x=1, y=-1+1 which gives us y=0, so another ordered pair is (1, 0). When x=2, y=-2+1 which gives us y=-1, so the third ordered pair is (2, -1).
To graph the equation, we plot these two points on a coordinate plane. The ordered pairs (0, 1) and (1, 0) represent two points on the line y=-x+1. You can plot these points, join them with a straight line, and extend the line to show the graph of the equation.
Learn more about Graphing linear equations