Chap_2_3_4 Slides.pdf - Math 124 Chapters 2.3 and 2.4...

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32 Slides Math 124 Chapters 2.3 and 2.4 Linear Functions and Slope
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2 Calculate a line’s slope . Write the point-slope form of the equation of a line. Write and graph the slope-intercept form of a line. Graph horizontal or vertical lines. Recognize and use the general form of a line’s equation . Use intercepts to graph the general form of a line’s equation. Model data with linear functions and make predictions Slopes and equations of parallel and perpendicular lines. Interpret slope as rate of change. Find a function’s average rate of change. Objectives:
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3 Linear Functions Linear models appear very frequently in the real world. One of the most common modeling techniques is called linear regression , the process of fitting a line to raw data usually presented as a scatter plot . The result of this process is the equation of a line that can be used for predicting about the independent variable.
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4 Definition of Slope The slope of the line through the distinct points ( x 1 , y 1 ) and ( x 2 , y 2 ) is where 2 1 2 1 change in rise change in run y y y x x x 2 1 0 x x Special cases: H orizontal line as a slope of 0. The slope of a vertical line is undefined.
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5 Types of Slope
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