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Complete the table for the equation y = -2x - 8, given the x values: -1, -2, -3, -4, -5, -6.

Mathematics

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Graph of y = −2x − 8

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Key points of y = −2x − 8
Pointxy
x-intercept−40
y-intercept0−8

Step-by-step solution

7 steps

To complete the table, we will substitute each given xx value into the rule y=−2x−8y = -2x - 8 and calculate the corresponding yy value.

  1. Calculate yy when x=−1x = -1.

    y=−2(−1)−8=2−8=−6y = -2(-1) - 8 = 2 - 8 = -6
  2. Calculate yy when x=−2x = -2.

    y=−2(−2)−8=4−8=−4y = -2(-2) - 8 = 4 - 8 = -4
  3. Calculate yy when x=−3x = -3.

    y=−2(−3)−8=6−8=−2y = -2(-3) - 8 = 6 - 8 = -2
  4. Calculate yy when x=−4x = -4.

    y=−2(−4)−8=8−8=0y = -2(-4) - 8 = 8 - 8 = 0
  5. Calculate yy when x=−5x = -5.

    y=−2(−5)−8=10−8=2y = -2(-5) - 8 = 10 - 8 = 2
  6. Calculate yy when x=−6x = -6.

    y=−2(−6)−8=12−8=4y = -2(-6) - 8 = 12 - 8 = 4
  7. Complete the table with the calculated yy values.

    x−1−2−3−4−5−6y=−2x−8-6-4-2024\boxed{ \begin{array}{|c|c|c|c|c|c|c|} \hline x & -1 & -2 & -3 & -4 & -5 & -6 \\ \hline y = -2x - 8 & \textbf{-6} & \textbf{-4} & \textbf{-2} & \textbf{0} & \textbf{2} & \textbf{4} \\ \hline \end{array} }
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