Questions: Draw the graph of each equation below. y+6=0 Draw: x-1=0

Draw the graph of each equation below. y+6=0 Draw: x-1=0
Transcript text: Draw the graph of each equation below. \[ y+6=0 \] Draw: \[ x-1=0 \]
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Solution

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Solution Steps

Step 1: Identify the Equations

The given equations are:

  1. \( y + 6 = 0 \)
  2. \( x - 1 = 0 \)
Step 2: Solve the Equations

  1. For \( y + 6 = 0 \):

    • Subtract 6 from both sides to isolate \( y \): \[ y = -6 \]
    • This is a horizontal line where \( y \) is always -6.

  2. For \( x - 1 = 0 \):

    • Add 1 to both sides to isolate \( x \): \[ x = 1 \]
    • This is a vertical line where \( x \) is always 1.
Step 3: Plot the Graphs

  1. For \( y = -6 \):

    • Draw a horizontal line passing through \( y = -6 \) on the y-axis.

  2. For \( x = 1 \):

    • Draw a vertical line passing through \( x = 1 \) on the x-axis.

Final Answer

  • The graph of \( y = -6 \) is a horizontal line at \( y = -6 \).
  • The graph of \( x = 1 \) is a vertical line at \( x = 1 \).
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