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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.
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Item Type(s):
This benchmark may be assessed using:
MC
,
FR
item(s)
Also Assesses: - 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.
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.
- Test Item #: Sample Item 1
- Question:
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 ?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question:
On the coordinate grid below, line l is perpendicular to
- Difficulty: N/A
- Type: FR: Fill-in Response
Related Access Points
Related Resources
Video/Audio/Animations
Student Resources
Video/Audio/Animations
This video shows how to determine which lines are parallel from a set of three different equations.
Type: Video/Audio/Animation
This video illustrates how to determine if the graphs of a given set of equations are parallel.
Type: Video/Audio/Animation
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.
Type: Video/Audio/Animation
