M Linear functions also known as lines. m Each line is defined by: intercepts and slope m Slope is the change in y over the change in x m rise over run.

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m Linear functions also known as lines. m Each line is defined by: intercepts and slope m Slope is the change in y over the change in x m rise over run Linear Functions

Slope x y

Forms of Line General equation: Ax + By + C = 0 Slope-intercept equation: slope = m, y-intercept = b Point-slope equation: slope = m, point =

Given two points, (-2, 9) and (4, 1), on a line, find the equation of the line Example 1

The U.S. population(in millions) can be described as a function of time where the independent variable is the number of years past 1990 with: Example 2 Find p(25) and explain what it means. Graph the function

Suppose the cost of a building is $960,000 and a company wants to use a straight-line depreciation schedule for 240 months. Write the equation for this depreciation schedule. y = value of building, x = months Example 3