Question

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

Answer 1

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 \(x = -6\).