Standard #: MA.912.A.3.10 (Archived Standard)


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Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.


Remarks


Example 1: Find an equation of the line through the points (1, 4) and (3, 10).

Example 2: Find an equation of the line that goes through the point (5, -2) with a slope of -2

Example 3: Find an equation of the line through the point (1, 4) and perpendicular to y = 3x + 1.

Example 4: Find an equation of the line parallel to y = 3x + 2 that passes through the origin.

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Linear Equations and Inequalities - Solve linear equations and inequalities.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Item Type(s): This benchmark may be assessed using: MC , FR item(s)
    Also Assesses:

    MA.912.A.3.7 Rewrite equations of a line into slopeintercept form and standard form.

    MA.912.A.3.12 Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.

    MA.912.G.1.4 Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

    Clarification :
    Students will write linear equations, including lines parallel or perpendicular to a given line.
    Content Limits :

    Information given to determine equations of lines may include a table of values, the x- and y-intercepts, two points, the slope and a point, a graph, or an equation.

    Items may include lines that have zero slope or undefined slope.

    Given coordinates will be limited to rational numbers

    Stimulus Attributes :

    Items may include linear equations in various forms, including standard, slope-intercept, and point-slope forms.

    Graphics should be used in most of these items, as appropriate.

    Response Attributes :

    Fill-in response items may require that students provide a slope of a line parallel or perpendicular to a given line.

    Fill-in response items may require that students provide coefficients for a linear equation.

    Fill-in response items may have a negative answer.



Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1

In a technical drawing class, students are analyzing the side view of a house that has been positioned on a coordinate grid, as shown below.

 

Which of the following equations best represents the line that contains PQ ?

 N/A MC: Multiple Choice
Sample Item 2

 

On the coordinate grid below, line l is perpendicular to 

 

 N/A FR: Fill-in Response


Related Resources

Video/Audio/Animations

Name Description
Parallel Lines 2

This video shows how to determine which lines are parallel from a set of three different equations.

Parallel Lines

This video illustrates how to determine if the graphs of a given set of equations are parallel.

Perpendicular Lines 2

This video describes how to determine the equation of a line that is perpendicular to another line. All that is given initially the equation of a line and an ordered pair from the other line.

Student Resources

Video/Audio/Animations

Name Description
Parallel Lines 2:

This video shows how to determine which lines are parallel from a set of three different equations.

Parallel Lines:

This video illustrates how to determine if the graphs of a given set of equations are parallel.

Perpendicular Lines 2:

This video describes how to determine the equation of a line that is perpendicular to another line. All that is given initially the equation of a line and an ordered pair from the other line.



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