How to solve perpendicular equation when only given one equation and no points?
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the question is... line A is perpendicular to the line with the equation y=-1/3x and the point is on line A. what is the equation of line A? my book says the answer is y=3x-22 I am baffled as to how they got this answer, without a given point. Is there a typo in the question, or is there a way to get that answer without given coordinates?
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Answer:
"the point is on line A". Which point ? Without further information, there is no way of deriving that equation. There are an infinity of lines perpendicular to the first line.
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Other answers
"the point is on line A". Which point ? Without further information, there is no way of deriving that equation. There are an infinity of lines perpendicular to the first line.
ignoramu...
slopes of perpendicular lines are opposite and reciprocal. In your case, line A is perpendicular. the slope for the reference line is y = - 1/3x. the opposite reciprocal slope for y = -1/3 x is y = +3/1 x. +3/1 is simplified to 3. That is how the y=3x is created for the reference line. The reference line will be angled from left to right. The perpendicular line will be angled from right to left. I don't know how the authors, editors, or printing company of your book found -22.
Pat
If you have a line, lets say y=-1/3x, and you have a point, A. There is only one line that goes through point A and intersects y=-1/3x perpendicular to it.
StanS
You're right, there's no way to narrow it down to anything other than y = 3x + some number.
hayharbr
slopes of perpendicular lines are opposite and reciprocal. In your case, line A is perpendicular. the slope for the reference line is y = - 1/3x. the opposite reciprocal slope for y = -1/3 x is y = +3/1 x. +3/1 is simplified to 3. That is how the y=3x is created for the reference line. The reference line will be angled from left to right. The perpendicular line will be angled from right to left. I don't know how the authors, editors, or printing company of your book found -22.
Pat
If you have a line, lets say y=-1/3x, and you have a point, A. There is only one line that goes through point A and intersects y=-1/3x perpendicular to it.
StanS
You're right, there's no way to narrow it down to anything other than y = 3x + some number.
hayharbr
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