Write the equation of the line perpendicular to \( y=7 \) through \( (1.5) \)

To find the equation of a line perpendicular to \( y=7 \), we first recognize that \( y=7 \) is a horizontal line. A line that is perpendicular to a horizontal line is a vertical line. The slope of a vertical line is undefined, and it maintains a constant x-coordinate. Since it passes through the point \( (1.5) \), the equation of the line is simply \( x=1.5 \). Now you have a nifty new vertical line that stands proud at \( x=1.5 \), fully perpendicular to the serene landscape of \( y=7 \)! Just picture it—a sassy little line skewing the otherwise flat expanse! And don't forget, in the world of parallel lines, a horizontal line \( y = k \) (where k is a constant) will have the same y-value for all x-values. So for any other horizontal line, simply keep the same vertical distance in your classroom antics!