How to write the equation of a line perpendicular to another through a point

The video tutorial explains how to find a line perpendicular to a given equation, Y = -4/3X + 5, that passes through the point (0, 2). It begins by graphing the original equation to understand its slope and Y-intercept. The tutorial then discusses the properties of perpendicular lines, emphasizing that they have opposite reciprocal slopes. Finally, it calculates the equation of the perpendicular line, resulting in Y = 3/4X + 2, ensuring it passes through the specified point.

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