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Published byArthur Waters Modified over 9 years ago
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When given the equation of a line that is perpendicular to the one you are interested in and a point on the line of interest, finding an equation for the line of interest is very straight forward.
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Suppose you have a line given by the equation y=5x+2. Find the equation of a line that passes through the point (2,3) and is perpendicular to the above line.
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Because the line you are trying to describe is perpendicular to the one given, its slope must be the negative reciprocal of the slope of the given line.
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In order to find the slope easily, put the equation of the given line in slope- intercept form if it already is not in that form.
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Given line in slope- intercept form (y=mx+b) Slope
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Input Output y-coordinate of a point on the line x-coordinate of the same point on the line
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Substitute in values and simplify Equation of the line in point-slope form
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Distribute Write equation in slope-intercept form (y=mx+b) Combine constant terms
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Equation of the line of interest in slope-intercept form
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