Question

write equations for the vertical and horizontal lines passing through the point (-1, 3). vertical line: horizontal line:

Explanation:

Step1: Recall vertical line equation

A vertical line has the equation \( x = a \), where \( a \) is the x - coordinate of any point on the line. For the point \((-1,3)\), the x - coordinate is \(-1\). So the equation of the vertical line is \( x=-1 \).

Step2: Recall horizontal line equation

A horizontal line has the equation \( y = b \), where \( b \) is the y - coordinate of any point on the line. For the point \((-1,3)\), the y - coordinate is \( 3 \). So the equation of the horizontal line is \( y = 3 \).

Answer:

vertical line: \( x=-1 \)
horizontal line: \( y = 3 \)