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QUESTION IMAGE

graph \\(y = 3x - 6\\) by plotting the solutions of the equation when \…

Question

graph \\(y = 3x - 6\\) by plotting the solutions of the equation when \\(x = -1, 0, 1, 2, 3\\), and \\(4\\), and then connecting the points with a smooth curve.

Explanation:

Evaluate the function at given x-values

Using the Function Evaluation and Linear Functions knowledge points

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Plot the points and draw the line

Using the Graphing Linear Equations knowledge point

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Answer:

To graph the equation \(y = 3x - 6\), plot the following points on the coordinate plane and connect them with a straight line:

  • For \(x = -1\): \((-1, -9)\)
  • For \(x = 0\): \((0, -6)\)
  • For \(x = 1\): \((1, -3)\)
  • For \(x = 2\): \((2, 0)\)
  • For \(x = 3\): \((3, 3)\)
  • For \(x = 4\): \((4, 6)\)