MA.912.A.3.10 Writing Equations of Lines and Inequalities
4-Function Calculator
Functions
Polynomials
Rationals-Discrete
In Your Text
Section 4-1 Page 216
Section 4-3 Pages 231-233
Section 4-4 Pages 237-240
What You Need To Know...
Write an equation of a line or an inequality with given information.
- The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
- Items may give two points on a line, a point and the slope of a line, or its graph.
- Items may require the use of coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.
- 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.
- Equations of lines may be represented in standard, slope-intercept, or point-slope form.
- Items may require students to rewrite equations of lines from standard form to slope-intercept form, and vice versa.
- Items may require students to identify a linear inequality in slope-intercept form.
- Fill-in response items may require that students provide a slope of a line parallel or perpendicular to a given line.
Example One
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 ?
Example Two
On the coordinate grid below, line l is perpendicular to .
What is the slope of line l ?
Example Three
The line AB is graphed on the coordinate grid below.
What is the x-intercept of the line that is perpendicular to line AB at point B?
Additional Examples
Given a Graph
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Given Two Points
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Slope-Intercept Form
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Point-Slope Form
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Standard Form
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Parallel & Perpendicular
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Parallel Lines
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Perpendicular Lines
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Reference Sheet
