Question

write equations for the vertical and horizontal lines passing through the point (0, 3). vertical line: □ horizontal line: □

Explanation:

Step1: Recall vertical line equation

A vertical line has an undefined slope and its equation is of the form \( x = a \), where \( a \) is the x - coordinate of any point on the line. The point is \( (0,3) \), so for the vertical line passing through \( (0,3) \), the x - coordinate is 0. So the equation of the vertical line is \( x = 0 \).

Step2: Recall horizontal line equation

A horizontal line has a slope of 0 and its equation is of the form \( y = b \), where \( b \) is the y - coordinate of any point on the line. The point is \( (0,3) \), so the y - coordinate is 3. So the equation of the horizontal line is \( y = 3 \).

Answer:

vertical line: \( x = 0 \)
horizontal line: \( y = 3 \)