Unit 4: Notes

Section 4.1:  What makes a function linear?

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4.1 Linear Functions

How to read a distance time graph:

Focus on how he interprets the “story” of the graph and the answers to questions #1 and #2  (you are not responsible for knowing how to answer question #3 at this time)

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Section 4.2:  Recognizing Linear Functions from Words, Tables and Graphs

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4.2 Tables and Graphs – 3 Examples

Review of Coordinate Plane Vocabulary and How to Plot Ordered Pairs (x.y)

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 Graphing by Tables 11.08.13 Class Notes

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Note:  Remember!  On the “you try” question when the coefficient of x was a fraction, we chose our values for the table based on the DENOMINATOR, we chose multiples of 2 because the fraction was 3/2.  If the fraction was 1/4, a good choice would be -4,0,4.  (This was discussed in class, but not explicitly written in the notes).

Writing a linear equation (y=mx+b) given a table

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Section 4.3:  Calculating and Interpreting Slope

Notes from Miss. Paige’s class:

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Point:

What is Slope PPT

Notes from Miss. J’s class:

Click this link to view the 4.3 What Is Slope? Notes:  4.3 What is Slope Class Notes

Calculating Slope  (Rate of Change)

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Section 4.4:   Effects of Changing Parameters of an Equation in Slope Intercept Form

Graphing Linear Equations: GIVEN Slope-Intercept Form  (y=mx+b)

Solving an Equation for Slope-Intercept Form (y=mx+b)

Graphing Linear Equations: NOT GIVEN Slope-Intercept Form (y=mx+b)

Graphing Linear Equations: NOT GIVEN Slope-Intercept Form (y=mx+b)

Identifying Perpendicular and Parallel Lines

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Section 4.5:  Forms of Linear Equations

Notes:

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Section 4.6:  Point Slope Form of Linear Equations

Writing the equation of a line (y=mx+b) given a point (x,y) and the slope (m):

Writing the equation of a line parallel to the given line, through a given point:

Writing the equation of a line perpendicular to the given line, through a given point: