Chapter 1 Level 0 Math 0 Faculty of Engineering - Basic Science Department- Prof H N Agiza.

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Presentation transcript:

Chapter 1 Level 0 Math 0 Faculty of Engineering - Basic Science Department- Prof H N Agiza

The slope of a line Faculty of Engineering - Basic Science Dept- Prof H N Agiza

We define run to be the distance we move to the right and rise to be the corresponding distance that the line rises (or falls). The Slope of a Line : Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Finding the Slope of a Line Through Two Points Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Point-Slope Form of the Equation of a Line Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Finding the Equation of a Line with Given Point and Slope Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Slope-Intercept Form of the Equation of a Line Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Lines in Slope-Intercept Form Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Vertical and Horizontal Lines Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Vertical and Horizontal Lines An equation for the vertical line through (3, 5) is x = 3. An equation for the horizontal line through (8, 2) is y =2. Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Parallel and Perpendicular Lines Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Finding the Equation of a Line Parallel to a Given Line Faculty of Engineering - Basic Science Dept- Prof H N Agiza

PERPENDICULAR LINES Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Example: Show that the points P(3,3), Q(8,17), and R(11,5)are the vertices of a right triangle. Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Mathematical Notations Faculty of Engineering - Basic Science Dept- Prof H N Agiza

1.1 Sets and Notation Faculty of Engineering - Basic Science Dept- Prof H N Agiza

1.2 Intervals An interval is a subset of the real numbers. Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Absolute Value Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Distance between points Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Integer Exponents Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Laws of Exponents Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Adding and Subtracting Polynomials Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Multiplying Polynomials Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Special Product Formulas Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Factorization Faculty of Engineering - Basic Science Dept- Prof H N Agiza

Factoring Trinomials Faculty of Engineering - Basic Science Dept- Prof H N Agiza