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Use the equation y = x + 2 to answer the questions that follow

Mathematics

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Graph of y = x + 2

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Key points of y = x + 2
Pointxy
x-intercept−20
y-intercept02

Step-by-step solution

2 steps

To complete the table, we will use the given equation y=x+2y = x + 2 and substitute each value of xx to find the corresponding yy value.

  1. Calculate yy for each given xx value.

    For x=−4x = -4:

    y=−4+2=−2y = -4 + 2 = -2

    For x=−2x = -2:

    y=−2+2=0y = -2 + 2 = 0

    For x=−1x = -1:

    y=−1+2=1y = -1 + 2 = 1

    For x=0x = 0:

    y=0+2=2y = 0 + 2 = 2

    For x=1x = 1:

    y=1+2=3y = 1 + 2 = 3

    For x=2x = 2:

    y=2+2=4y = 2 + 2 = 4

    For x=4x = 4:

    y=4+2=6y = 4 + 2 = 6
  2. Fill in the table with the calculated yy values.

    xx-4-2-10124
    yy-2012346

    The completed table is:

    x−4−2−10124y−2012346\boxed{ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x & -4 & -2 & -1 & 0 & 1 & 2 & 4 \\ \hline y & -2 & 0 & 1 & 2 & 3 & 4 & 6 \\ \hline \end{array} }
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