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CCGPS CA 6.1.3 Example 3
Author:
GeoGebra Materials Team
,
Walch Education
Find the point on the given line that is closest to the given point.
Find the line perpendicular to the given line that passes through the given point.
Identify the slope of the given line.
Find the opposite reciprocal of the slope of the given line.
Substitute the opposite reciprocal for
in the point-slope form of a linear equation.
Substitute
and
from the given point into the equation for
and
.
Simplify the equation.
Find the intersection between the two lines by setting the given equation equal to the equation of the perpendicular line, then solve for
.
Substitute the value of
back into the given equation to find the value of
.
Calculate the distance between the two points using the distance formula.
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