How do you find a perpendicular equation?
negative reciprocal.
The slopes are negative reciprocals.
There is no such thing as a perpendicular equation. Please remember that words mean things. Try to use more precise language.
"How do you find the equation of a line which is perpendicular to a given line whose equation is known?" True: the slopes of these two lines are indeed negative reciprocals. Please define for the rest of us what you still would like to know in regard to your question. Better yet, provide an example what we can start with.
one exception: if one of the lines is horizontal (y = constant) or vertical (x = constant), the perpendicular will be vertical or horizontal, and you won't be able to use the negative reciprocal relationship because a vertical line doesn't have a slope in the usual sense
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