Questions: Graphing Linear Equations by plotting points. Complete the table below for the equation (2 y+4 x=10). Then use two of the ordered pairs to graph the equation. [2 y+4 x=10] (x) (y) Ordered Pair -2 -1 0 1 2 Clear All Draw:

Graphing Linear Equations by plotting points. Complete the table below for the equation (2 y+4 x=10). Then use two of the ordered pairs to graph the equation. [2 y+4 x=10] (x) (y) Ordered Pair -2 -1 0 1 2 Clear All Draw:
Transcript text: Graphing Linear Equations by plotting points. Complete the table below for the equation $2 y+4 x=10$. Then use two of the ordered pairs to graph the equation. \[ 2 y+4 x=10 \] \begin{tabular}{|c|l|l|} \hline$x$ & $y$ & Ordered Pair \\ \hline-2 & $\square$ & \\ \hline-1 & $\square$ & $\square$ \\ \hline 0 & $\square$ & $\square$ \\ \hline 1 & $\square$ & $\square$ \\ \hline 2 & $\square$ & \\ \hline & & \\ \hline \end{tabular} Clear All Draw:
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Solution

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Solution Steps

Step 1: Substitute x = -2 into the equation

Substitute \( x = -2 \) into the equation \( 2y + 4x = 10 \): \[ 2y + 4(-2) = 10 \] \[ 2y - 8 = 10 \] \[ 2y = 18 \] \[ y = 9 \] Ordered pair: (-2, 9)

Step 2: Substitute x = -1 into the equation

Substitute \( x = -1 \) into the equation \( 2y + 4x = 10 \): \[ 2y + 4(-1) = 10 \] \[ 2y - 4 = 10 \] \[ 2y = 14 \] \[ y = 7 \] Ordered pair: (-1, 7)

Step 3: Substitute x = 0 into the equation

Substitute \( x = 0 \) into the equation \( 2y + 4x = 10 \): \[ 2y + 4(0) = 10 \] \[ 2y = 10 \] \[ y = 5 \] Ordered pair: (0, 5)

Final Answer

  • For \( x = -2 \), \( y = 9 \) → Ordered pair: (-2, 9)
  • For \( x = -1 \), \( y = 7 \) → Ordered pair: (-1, 7)
  • For \( x = 0 \), \( y = 5 \) → Ordered pair: (0, 5)
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