Graph the line.y = -3x -2Which of the following most closely matches your graph?
Question
Graph the line.y = -3x -2Which of the following most closely matches your graph?
Solution
To graph the line y = -3x -2, follow these steps:
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Identify the y-intercept: The y-intercept is the point where the line crosses the y-axis. In the equation y = -3x -2, the y-intercept is -2. So, the first point on your graph is (0, -2).
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Identify the slope: The slope is the number in front of the x in the equation. In this case, the slope is -3. This means that for every 1 unit you move to the right on the x-axis, you move down 3 units on the y-axis.
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Plot another point using the slope: Starting from the y-intercept (0, -2), move 1 unit to the right and 3 units down. This gives you the point (1, -5). Plot this point on your graph.
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Draw the line: Once you have at least two points, you can draw a line through them. This line represents the equation y = -3x -2.
Without seeing the options you have for "which of the following most closely matches your graph", I can't tell you which one to choose. But the line you draw should be a downward sloping line that crosses the y-axis at -2 and passes through the point (1, -5).
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