UNIT-7-OBJECTIVE 3- BASIC DEFINITION OF PLANE ANALYTIC
The distance d between any two points and in a plane is
given by the distance formula:
Example 1
Find the distance between (2,-7) and (-1,-3).
The coordinates of the midpoint m between any two points
are given by the mid point formula:
Example 2
Find the midpoint of a line segment between (2,-5) and (7,-1).
The slope of a line measures the steepness of the line. The slope also indicates whether as
values of x increases, a line is rising (positive slope), falling (negative slope) or constant
(slope of 0).
__ Slope of a Line__
The slope of a line through two points is
All lines except vertical lines have a slope. The slope of a vertical line is undefined and the
slope of a horizontal line is 0.
Example 3
Slope of a line joining (2,-5) and (-2,1)
If we start at (-2,1)
If two lines are parallel, they have the same inclination, so parallel lines have
the same slope. If two lines are perpendicular, they intersect at a
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