# Access Point #: MAFS.912.G-GPE.2.AP.5bArchived Access Point

Find equations of lines based on certain slope criteria such as; finding the equation of a line parallel or perpendicular to a given line that passes through a given point.
Clarifications:

#### Essential Understandings

Concrete:

• Given a line, draw a parallel line vs. a perpendicular line.
• Given the graph of a line, create a parallel or perpendicular line and find the slope.
• Use a template to generate the equation of a line given a point and a slope.
• Determine the slope of a line using a graph.
• Given the equation of a line, identify the slope, and y-intercept.
Representation:
• Given an equation of a line, identify the slope.
• Calculate the slope of a line using a formula.
• Multiply fractions and whole numbers.
• Determine whether a slope is perpendicular by multiplying the slopes together (the product of perpendicular slopes is -1).
• When given equations for two different lines, identify whether the slopes are equal (parallel).
• When given equations for two different lines, identify whether the slopes are opposite and reciprocal (perpendicular).
• Substitute point and slope into an equation form to generate the equation of the new line.
• Find the opposite reciprocal of a number.
General Information
Number: MAFS.912.G-GPE.2.AP.5b
Category: Access Points
Cluster: Use coordinates to prove simple geometric theorems algebraically. (Geometry - Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

## Related Standards

This access point is an alternate version of the following benchmark(s).

## Related Courses

This access point is part of these courses.
1200400: Foundational Skills in Mathematics 9-12
1207310: Liberal Arts Mathematics
1206310: Geometry
1206320: Geometry Honors
1200410: Mathematics for College Success
1200700: Mathematics for College Algebra
1206315: Geometry for Credit Recovery
7912065: Access Geometry

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