LINES AND
FIRST DEGREE EQUATIONS
Math 14
Plane and Solid Analytic Geometry
OBJECTIVES:
At the end of the lesson, the student is expected to be
able to:
Define and determine the general equation of a line
Define and determine the different standard
equat
PARABOLA
Math 14
Plane and Solid Analytic Geometry
OBJECTIVES:
At the end of the lesson, the student is expected to
be able to:
define conic section
identify the different conic section
describe parabola
convert general form to standard form of equatio
Fundamental Concepts
Math 14
Plane and Solid Analytic Geometry
OBJECTIVES:
At the end of the lesson, the student is expected to be able to:
use the Cartesian Coordinate System efficiently and
effectively as a tool in the study of Analytic Geometry.
dete
INCLINATION AND SLOPE
Math 14
Plane and Solid Analytic Geometry
OBJECTIVES:
At the end of the lesson, the student is expected to be
able to:
define and determine the angle of inclination and
slope of a single line, as well as of, parallel lines,
perpendi
DIVISION OF LINE SEGMENT
Math 14
Plane and Solid Analytic Geometry
OBJECTIVES:
At the end of the lesson, the student is expected to be
able to:
Determine the coordinates of a point of division of
a line segment.
- Use this concept to solve common applica
DIVISION OF A LINE SEGMENT
(Lesson 2)
Math 14
Plane and Analytic Geometry
Internal Point of Division
P2 x2 , y2
P1 P
r
P1 P2
P x , y
P1 x1 , y1
M x , y1
N x2 , y1
External Point of Division
P x , y
P1 P
r
P1 P2
P2 x2 , y2
P1 x1 , y1
M x , y1
N x2
INCLINATION AND SLOPE A LINE &
ANGLE BETWEEN TWO
INTERSECTING LINES
(Lesson 3)
Math 14
Plane and Analytic Geometry
INCLINATION AND SLOPE
OF A LINE
INCLINATION AND SLOPE OF A LINE
The inclination of the line, L, (not
parallel to the x-axis) is defined as t
CO3_Assignment/Project Set
DUE August 17, 2016
1. Write the equation of the parabola with vertex V at (0, 0) which satisfies the given
conditions:
a. axis on the y-axis and passes through (6, -3)
b. F(0, 4/3) and the equation of the directrix is y + 4/3 =
Assignment 1 Math 21-1
Due July 26, 2016
For each of the following , draw a properly labeled illustration then solve the
given problem using any applicable concept.
1. Show that points A (3, 8), B (-11, 3) and C (-8, -2) are vertices of an isosceles
trian