Вопрос:

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Ответ:

The task is to analyze the image and extract relevant information. The image contains a math problem. The student's name is "Юпатов Артём". The problem number is "№4". The equation to be graphed is "y = -x". There is a table with columns for 'x' and 'y' to fill in coordinates. A coordinate plane is provided for graphing. To solve this problem, we need to: 1. Choose some values for 'x'. 2. Calculate the corresponding 'y' values using the equation y = -x. 3. Plot these (x, y) points on the coordinate plane. 4. Draw a line through the points, which will be the graph of the equation y = -x. Let's fill in the table and then consider graphing it. | x | y | |---|---| | 0 | 0 | | 1 | -1 | | -1 | 1 | | 2 | -2 | | -2 | 2 | Now, let's describe the graphing process: 1. Plotting Points: * Point 1: (0, 0) - This is the origin. * Point 2: (1, -1) - Move 1 unit to the right on the x-axis and 1 unit down on the y-axis. * Point 3: (-1, 1) - Move 1 unit to the left on the x-axis and 1 unit up on the y-axis. * Point 4: (2, -2) - Move 2 units to the right on the x-axis and 2 units down on the y-axis. * Point 5: (-2, 2) - Move 2 units to the left on the x-axis and 2 units up on the y-axis. 2. Drawing the Line: Since this is a linear equation (y = -x), the graph will be a straight line. Connect the plotted points with a straight line. This line will pass through the origin (0,0) and will be in the second and fourth quadrants, sloping downwards from left to right. This equation represents a direct proportionality where y is always the negative of x. The graph is a straight line passing through the origin with a slope of -1.
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