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Study Guides > College Algebra CoRequisite Course

Introduction to Graphing and Writing Equations of Linear Functions

Learning Outcomes

By the end of this lesson, you will be able to:
  • Graph linear functions by plotting points, using the slope and y-intercept, and using transformations.
  • Write the equation of a linear function given its graph.
  • Match linear functions with their graphs.
  • Find the x-intercept of a function given its equation.
  • Find the equations of vertical and horizontal lines.
  • Determine whether lines are parallel or perpendicular given their equations.
  • Find equations of lines that are parallel or perpendicular to a given line.
  • Graph an absolute value function.
  • Find the intercepts of an absolute value function.
We can now describe a variety of characteristics that explain the behavior of linear functions. We will use this information to analyze a graphed line and write an equation based on its observable properties. From evaluating the graph, what can you determine about this linear function? Graph of the function f(x)= frac {2}{3} x plus 1
  • initial value (y-intercept)?
  • one or two points?
  • slope?
  • increasing or decreasing?
  • vertical or horizontal?
In this section, you will practice writing linear function equations using the information you've gathered. We will also practice graphing linear functions using different methods and predict how the graphs of linear functions will change when parts of the equation are altered.

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  • College Algebra. Provided by: OpenStax Authored by: Abramson, Jay et al.. Located at: https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites. License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].