MA.912.A.3.9Archived Standard

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Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.

Remarks

Example: Find the slope and y-intercept of the line described by the equation 4x + 6y = 9.
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.3.12 Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.
  • Clarification :
    Students will determine the slope, x-intercept, and/or y-intercept of a line given its graph, its equation, or two points on the line.
  • Content Limits :
    Items may include lines that have zero slope or undefined slope.
  • Stimulus Attributes :

    Items may be set in either real-world or mathematical contexts.

    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 or the x-coordinate (or y-coordinate) of a point of interest.

    Fill-in response items may have a negative answer.

Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question: An architect designed an outdoor staircase for a house. The relationship between the height of the steps and the length of the tread is modeled by the equation 57x - 95y = 0.
    Which of the following represents the slope of the equation?
  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 2
  • Question:

    An engineer needs to determine the slope between two points on a gondola ride in order to evaluate the power requirements when the gondola is full of passengers. A coordinate grid has been placed over a diagram between the two points, as shown below. For estimation purposes, a straight line between the two points can be used to find the slope.

     

    Assuming the cable runs in a straight line, what is the slope of the line between the two points shown?

  • Difficulty: N/A
  • Type: FR: Fill-in Response

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

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Unit/Lesson Sequence

Direct and Inverse Variation:

"Lesson 1 of two lessons teaches students about direct variation by allowing them to explore a simulated oil spill using toilet paper tissues (to represent land) and drops of vegetable oil (to simulate a volume of oil). Lesson 2 teaches students about inverse variation by exploring the relationship between the heights of a fixed amount of water poured into cylindrical containers of different sizes as compared to the area of the containers' bases." from Insights into Algebra 1 - Annenberg Foundation.

Type: Unit/Lesson Sequence

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