Remarks
Example: Find the slope and y-intercept of the line described by the equation 4x + 6y = 9.-
Item Type(s):
This benchmark may be assessed using:
MC
,
FR
item(s)
Also Assesses: - 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.
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.
- 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