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UNIT IV. Cartesian Coordinates in the Plane
A. Ordered Pairs B. Distance and midpoint between two points C. Graphs and solutions of equations D. Equations of a line
- Parallel lines
- Perpendicular lines
- Equation of a circle
Introduction to Cartesian Coordinates in the Plane
We locate a point on the real number line by assigning it a single real number, called the coordinate of the point. For work in a two-dimensional plane, we locate points by using two numbers. We begin with real number lines located in the same plane: one horizontal and the other vertical. The horizontal line is called the x -axis, the vertical line is the y -axis, and the point of intersection is the origin O. See figure 1.
LEARNING OBJECTIVES
At the end of this lesson, you will be able to:
- Define and illustrate rectangular coordinate planes.
- Plot ordered pairs in a Cartesian coordinate system.
- Illustrate the different equations of line.
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PRESENTATION OF CONTENT
A. Ordered Pairs
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C. Graphs and solutions of equations A relationship between two quantities is expressed as an equation in two variables. For instance, y = 7 – 3 x is an equation in x and y. an ordered pair (a, b) is a solution or solution point of an equation in x and y if the equation is true when a is substituted for x , and b is for y. For instance, (1, 4) is a solution of y = 7 – 3 x because 4 = 7 – 3(1) is a true statement.
The graph of an equation is the set of all points that are solutions of the equation.
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D. Equations of a line
Slope of a line
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Republic of the Philippines
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- Perpendicular lines
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Republic of the Philippines
C a g a y a n S t a t e U n i v e r s i t y
CARIG CAMPUS
