Question

write equations for the vertical and horizontal lines passing through the point (3, 6).
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 of the form $x = x_0$.

Step2: Identify $x_0$ value

Given the point $(3,6)$, $x_0=3$. So the vertical - line equation is $x = 3$.

Step3: Recall horizontal - line equation

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

Step4: Identify $y_0$ value

Given the point $(3,6)$, $y_0 = 6$. So the horizontal - line equation is $y = 6$.

Answer:

vertical line: $x = 3$
horizontal line: $y = 6$