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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.

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Presentation on theme: " 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."— Presentation transcript:

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2  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.

3  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.

4  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.

5  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.

6 Given line in slope- intercept form (y=mx+b) Slope

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8 Input Output y-coordinate of a point on the line x-coordinate of the same point on the line

9 Substitute in values and simplify Equation of the line in point-slope form

10 Distribute Write equation in slope-intercept form (y=mx+b) Combine constant terms

11 Equation of the line of interest in slope-intercept form


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