Question

write equations for the vertical and horizontal lines passing through the point (7, 6). 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. For the point \( (7,6) \), the x - coordinate is 7. So the equation of the vertical line is \( x = 7 \).

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. For the point \( (7,6) \), the y - coordinate is 6. So the equation of the horizontal line is \( y = 6 \).

Answer:

vertical line: \( x = 7 \)
horizontal line: \( y = 6 \)