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Writing Linear Equations

Writing Linear Equations

Writing Linear Equations

Linear functions are a class of functions that have graphs that are lines. Other characteristics that these functions share are that they have slope and y-intercept.
The slope of a linear function describes how much the line change vertically when moving horizontally along the line. Vertical change is often referred to as the rise and the horizontal change is then called run.
In this chapter different ways to write the function rule of linear function are explored. These ways includes Slope-Intercept Form and Point-Slope Form.
When a linear function is written is Slope-Intercept Form the function's slope and its y-intercept can be determined directly by examining the function rule. This is also the most commonly used form in which to write a linear function's equation.
The Point-Slope Form is used to find the equation of a linear function when its slope and one point on its line is known.
In this chapter the equations of parallel lines and perpendicular lines will also be studied. Two linear functions are parallel if they have the same slope but different y-intercepts. Two linear functions are perpendicular if their slopes are negative reciprocals. This means that if the slopes are multiplied the product is -1.
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