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Write equations for the horizontal and vertical lines passing through the point (-6,1)

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To find the equations of the horizontal and vertical lines that pass through the point \((-6, 1)\):

  1. Horizontal Line: A horizontal line has a constant \(y\)-value. Since the point is \((-6, 1)\), the \(y\)-value is \(1\). Therefore, the equation of the horizontal line is: \[ y = 1 \]

  2. Vertical Line: A vertical line has a constant \(x\)-value. Since the point is \((-6, 1)\), the \(x\)-value is \(-6\). Therefore, the equation of the vertical line is: \[ x = -6 \]

In summary:

  • The equation of the horizontal line is \(y = 1\).
  • The equation of the vertical line is \(x = -6\).