Module 9: Writing Linear Equations
In-Depth Explanations
In this module, you explored how to write linear equations. For this assignment, you have the opportunity to answer some questions and explain your depth of understanding.
The activity is available below or in a printable document.
- Explain the difference between slope-intercept form and point-slope form.
- Given a point with integral coordinates, (a, b), explain how to write the equation of the
vertical line that contains (a, b), and the horizontal line that contains (a, b).
- Why is it impossible to write the equation of a vertical line in slope-intercept form?
- Given the coordinates of two points on a line, explain two methods to determine the slope of the line.
- Given the equation in point-slope form, explain how to determine the coordinates of its y-intercept.
- Describe what a line with zero rate of change looks like.
- Given the equation or graph of a line, describe how to write an equation of a parallel line that goes through a given point.
- Given the equation or graph of a line, describe how to write an equation of a perpendicular line that goes through a given point.
Reflection
After you have completed the assignment above, take a moment to reflect on the following questions. Respond to each of these questions in a brief four to five sentence paragraph.
- In this module, you built upon previous knowledge you had about slope. What did you learn that you did not previously know, and how might this information be useful in the future?
- Parallel and perpendicular lines are all around you. What would happen if parallel lines existed, but perpendicular lines did not? Can you think of ways objects and structures could remain structurally sound without perpendicular lines? Explain.
Once you have completed this assignment and reflection, please submit your work to the dropbox.