Question

find the equation and slope of a line that is perpendicular to the line y=2 and passes through the point (6, 4). click on \undefined\ as the answer if necessary.
equation:
slope:

Explanation:

Step1: Analyze the given line

The line \( y = 2 \) is a horizontal line (since it has the form \( y = k \) where \( k \) is a constant). The slope of a horizontal line is \( 0 \).

Step2: Determine the slope of the perpendicular line

A line perpendicular to a horizontal line is a vertical line. The slope of a vertical line is undefined.

Step3: Find the equation of the perpendicular line

A vertical line passing through the point \( (6, 4) \) has the equation \( x = 6 \) (since all points on a vertical line have the same \( x \)-coordinate).

Answer:

Equation: \( x = 6 \)
Slope: Undefined