Section%201.3 - Section 1.3 Linear Functions, Slope, and...

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Math 1513 Sec 1.3 1 Section 1.3 Linear Functions, Slope, and Applications One of the simplest and most common types of function is a linear function . If ( ) y f x is a linear function then it has a graph that is a straight line, it has a formula like ( ) y f x mx b , m is the slope or the rate of change of y with respect to x (slope = rate of change), the rate of change is constant (= m ), and b is the y -intercept or the value of y when x = 0. The slope of a line is a measure of how steep the line is. It is the ratio of its vertical change (rise) to its horizontal change (run). Lines that rise Lines that fall to the right to the right have + slopes have - slopes Horizontal lines Vertical lines have slopes of have undefined zero (0) slopes
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Math 1513 Sec 1.3 2 Consider the line that passes through the points 1 1 ( , ) x y and 2 2 ( , ) x y . ( ) y f x mx b There are several ways to think of the slope: 2 1 2 1 2 1 2 1 ( ) ( ) rise change in y y y y f x f x m run change in x x x x x x
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Math 1513 Sec 1.3
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Section%201.3 - Section 1.3 Linear Functions, Slope, and...

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