Question
A given line has the equation 5x−3y=2. What is the slope of a line that is perpendicular to the given line?
Answers
Answered by
GPT 3.5
To find the slope of a line perpendicular to the given line, we need to find the negative reciprocal of the slope of the given line.
The given line has the equation 5x - 3y = 2, which can be rewritten as -3y = -5x + 2.
Dividing by -3, we get y = (5/3)x - 2/3.
The slope of the given line is 5/3.
The negative reciprocal of 5/3 is -3/5.
Therefore, the slope of a line perpendicular to the given line is -3/5.
The given line has the equation 5x - 3y = 2, which can be rewritten as -3y = -5x + 2.
Dividing by -3, we get y = (5/3)x - 2/3.
The slope of the given line is 5/3.
The negative reciprocal of 5/3 is -3/5.
Therefore, the slope of a line perpendicular to the given line is -3/5.
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