Questions: Write equations for the vertical and horizontal lines passing through the point (-5,4)

Write equations for the vertical and horizontal lines passing through the point (-5,4)
Transcript text: (16) Week 5 Quiz Question 1 of 15 (1 point) | Question Attempt: 1 of 1 1 2 3 4 5 6 7 Write equations for the vertical and horizontal lines passing through the point $(-5,4)$
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Solution

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Solution Steps

To find the equations of vertical and horizontal lines passing through a given point, we use the properties of these lines. A vertical line has a constant x-coordinate, and a horizontal line has a constant y-coordinate.

  • The vertical line through \((-5, 4)\) will have the equation \(x = -5\).
  • The horizontal line through \((-5, 4)\) will have the equation \(y = 4\).
Step 1: Identify the Point

The given point is \((-5, 4)\).

Step 2: Determine the Vertical Line Equation

A vertical line passing through a point has a constant \(x\)-coordinate. Therefore, the equation of the vertical line is: \[ x = -5 \]

Step 3: Determine the Horizontal Line Equation

A horizontal line passing through a point has a constant \(y\)-coordinate. Therefore, the equation of the horizontal line is: \[ y = 4 \]

Final Answer

The equations of the lines are:

  • Vertical line: \(\boxed{x = -5}\)
  • Horizontal line: \(\boxed{y = 4}\)
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