y: 2x +4x - 3 the table for the graph

Mathematics

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Step-by-step solution

4 steps
  1. Simplify the given equation.

    Combine the like terms in the equation for yy.

    y=2x+4x−3y = 2x + 4x - 3 y=6x−3y = 6x - 3
  2. Choose a range of xx values.

    To create a table for the graph, we select a few xx values and calculate their corresponding yy values. Let's choose x=−2,−1,0,1,2x = -2, -1, 0, 1, 2.

  3. Calculate the corresponding yy values.

    Substitute each chosen xx value into the simplified equation y=6x−3y = 6x - 3:

    • For x=−2x = -2:
    y=6(−2)−3=−12−3=−15y = 6(-2) - 3 = -12 - 3 = -15
    • For x=−1x = -1:
    y=6(−1)−3=−6−3=−9y = 6(-1) - 3 = -6 - 3 = -9
    • For x=0x = 0:
    y=6(0)−3=0−3=−3y = 6(0) - 3 = 0 - 3 = -3
    • For x=1x = 1:
    y=6(1)−3=6−3=3y = 6(1) - 3 = 6 - 3 = 3
    • For x=2x = 2:
    y=6(2)−3=12−3=9y = 6(2) - 3 = 12 - 3 = 9
  4. Present the values in a table.

    The table for the graph is:

    xy−2−15−1−90−31329\boxed{ \begin{array}{|c|c|} \hline x & y \\ \hline -2 & -15 \\ -1 & -9 \\ 0 & -3 \\ 1 & 3 \\ 2 & 9 \\ \hline \end{array} }
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