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7 th Grade Pre-Algebra Chapter 7: Linear Equations Chapter 7-6 Families of Linear Graphs
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Transcript of 7 6
7th Grade Pre-AlgebraChapter 7: Linear Equations
Chapter 7-6Families of Linear Graphs
Terms and Concepts (A) Family of graphs: a group of graphs that
has at least one characteristic in common. There are two basic families of graphs:
Graphs of lines that have a common slope Graphs of lines that have the same x or y
intercept In order to determine whether or not graphs
belong to the same family: plot points according to the linear equation and
compare the resulting graphs Or, re-write the linear equation in point-slope
form and compare the slopes and y-intercepts
Terms and Concepts (B) Parent graph: the simplest of the graphs in
a family y = x is the parent graph in the family that
contains y = 3x and y = 1/4x If the slope is positive, an increase in its
value will increase the steepness of the line If the slope is negative, a decrease in its
value will increase the steepness of the line. As the value of b (in a linear equation)
increases, the line shifts up the y axis.
Class assignment
Work the examples on pages 316-318 Problems 1-5
Work on pages 319-320 Problems 2-28 (even)
Homework assignment
Do page 46 (1-12, all) in the workbook.
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