when given the equation of a line that is perpendicular to the one you are interested in and a point...

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Page 1: 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
Page 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

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.

Page 3: 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

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.

Page 4: 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

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.

Page 5: 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

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.

Page 6: 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

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

Slope

Page 7: 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
Page 8: 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

Slope InputOutput

y-coordinate of a point on the line

x-coordinate of the same point on the line

Page 9: 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

Substitute in values and simplify

Equation of the line in point-slope form

Page 10: 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

Distribute

Write equation in slope-intercept form (y=mx+b)

Combine constant terms

Page 11: 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

Equation of the line of interest in slope-intercept form