1.8 – Coordinate Geometry
Video 1 of 3: Coordinate Plane and Geometry
Video 2 of 3: Graphing Circles
Video 3 of 3: Tangent Line to a Circle
Section Notes
Distance Formula
The distance between the points and
is given by
Midpoint Formula
The midpoint of the line segment between points and
is
Intercepts
x-intercepts are the coordinates of points where the graph of an equation intersects the
axis. To find them, set
and solve for
.
y-intercepts are the coordinates of points where the graph of an equation intersects the
axis. To find them, set
and solve for
.
Equation of a Circle
The equation of a circle with center and radius
is
This is the standard form for the equation of a circle. A circle with radius and center at the origin
has the equation
Symmetry
Symmetry with respect to the axis occurs when the equation is unchanged when
is replaced with
Symmetry with respect to the axis occurs when the equation is unchanged when
is replaced with
Symmetry with respect to the origin occurs when the equation is unchanged when and
are replaced by
and
, respectively.