Question

find the slope (m) of each line. then, determine if the lines are parallel, perpendicular, intersecting or coinciding (identical - same line).
y = 2
m1 =
x = 3
m2 =
the lines are

Explanation:

Step1: Find slope of $y = 2$

The equation $y=2$ is a horizontal line. For a horizontal line of the form $y = k$ (where $k$ is a constant), the slope $m_1 = 0$.

Step2: Find slope of $x = 3$

The equation $x = 3$ is a vertical line. For a vertical line of the form $x=h$ (where $h$ is a constant), the slope $m_2$ is undefined.

Step3: Determine relationship between lines

A horizontal line and a vertical line are perpendicular to each other.

Answer:

$m_1 = 0$
$m_2$ is undefined
The lines are perpendicular