Question

write equations for the horizontal and vertical lines passing through the point (-9, -6).
horizontal line:
vertical line:

Explanation:

Step1: Recall horizontal line equation

A horizontal line has the equation \( y = k \), where \( k \) is the y - coordinate of any point on the line. For the point \((-9,-6)\), the y - coordinate is \(-6\). So the equation of the horizontal line is \( y=-6 \).

Step2: Recall vertical line equation

A vertical line has the equation \( x = k \), where \( k \) is the x - coordinate of any point on the line. For the point \((-9,-6)\), the x - coordinate is \(-9\). So the equation of the vertical line is \( x = - 9 \).

Answer:

horizontal line: \( y=-6 \)
vertical line: \( x=-9 \)