Question

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(1,3)$$

Short answer

The equation of the horizontal line passing through the point (1,3) is \(y = 3\). The equation of the vertical line passing through the same point is \(x = 1\).

Step-by-step solution

Equation of Horizontal Line

Firstly, let's write the equation for a horizontal line passing through the point (1,3). A horizontal line has all its y-coordinates the same. So, for a specific point (1,3), the y-coordinate will always be 3. Therefore, the equation of the horizontal line is \(y = 3\).

Equation of Vertical Line

Moving on, let's find the equation for a vertical line through the point (1,3). In the case of a vertical line, all x-coordinates are the same. So, for our specific point (1,3), the x-coordinate will always be 1. Hence, the equation for the vertical line is \(x = 1\).