Question

write equations for the vertical and horizontal lines passing through the point (1, 0).
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 \((1,0)\), the x - coordinate is 1. So the equation of the vertical line is \(x = 1\).

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 \((1,0)\), the y - coordinate is 0. So the equation of the horizontal line is \(y = 0\).

Answer:

vertical line: \(x = 1\)
horizontal line: \(y = 0\)