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Searching for ## Linear Relationships and Their Graphs

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Algebra-1

You will determine the slope of a line that is parallel or perpendicular to a given line.

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After completing this tutorial, you will be able to complete the following:

- Determine the slope of a line that is parallel to a given line.
- Determine the slope of a line that is perpendicular to a given line.
- Determine whether two lines are parallel, perpendicular, or neither.

The slopes of parallel or perpendicular lines are related in a way that offers both computational and conceptual tools. Computationally, the relationship helps to determine whether two lines are parallel, perpendicular, or neither. Conceptually, the relationship can help us to understand the concept of slope as a measure of steepness.

Two non-coincident lines in the plane are parallel just in case they do not intersect. In this context, non-coincident means that the lines do not completely overlap each other. Two lines in the plane are perpendicular if there is a right angle between them.

Approximate Time | 30 Minutes |

Pre-requisite Concepts | Students should understand how to find the slope of a line. |

Course | Algebra-1 |

Type of Tutorial | Guided Discovery |

Key Vocabulary | parallel lines, perpendicular lines, slope |