Question

write equations for the vertical and horizontal lines passing through the point (5,4). answer: vertical line: horizontal line:

Explanation:

Step1: Recall vertical - line equation

The equation of a vertical line passing through the point $(x_0,y_0)$ is $x = x_0$.

Step2: Identify $x_0$ value

Given the point $(5,4)$, $x_0=5$. So the vertical - line equation is $x = 5$.

Step3: Recall horizontal - line equation

The equation of a horizontal line passing through the point $(x_0,y_0)$ is $y = y_0$.

Step4: Identify $y_0$ value

Given the point $(5,4)$, $y_0 = 4$. So the horizontal - line equation is $y = 4$.

Answer:

vertical line: $x = 5$
horizontal line: $y = 4$