Question
Writing the equations of vertical and horizontal lines through a given point Write equations for the horizontal and vertical lines passing through the point \( (-1,4) \). horizontal line: \( \square] \) vertical line:
Ask by Mcguire Ellis. in the United States
Feb 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Horizontal line: \( y = 4 \)
Vertical line: \( x = -1 \)
Solution
For a horizontal line, the y-coordinate is constant, so the equation is y = 4.
For a vertical line, the x-coordinate is constant, so the equation is x = -1.
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Simplify this solution Bonus Knowledge
The horizontal line through the point \((-1, 4)\) can be expressed as \(y = 4\). This means that no matter what value of \(x\) you choose, the \(y\) value will always be 4, thus creating a perfectly straight line along \(y=4\). On the other hand, the vertical line through the same point is represented as \(x = -1\). This line runs straight up and down, indicating that regardless of the \(y\) value, \(x\) will always remain \(-1\), giving you a nice, upright line. So, there you have it—two lines, one horizontal and one vertical, going through your point!
