Skip to main content

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

 

SchoolTubeLogo.jpg

podcastimage_146110.gif

What You Need To Know...

Write an equation of a line or an inequality  with given information.

  1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
  2. Items may give two points on a line, a point and the slope of a line, or its graph.
  3. Items may require the use of coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.
  4. 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.
  5. Equations of lines may be represented in standard, slope-intercept, or point-slope form.
  6. Items may require students to rewrite equations of lines from standard form to slope-intercept form, and vice versa.
  7. Items may require students to identify a linear inequality in slope-intercept form.
  8. 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.

 

3-10A.jpg

 

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

 

3-10Answers.jpg

 

CLICK HERE FOR SOLUTION

Example Two

On the coordinate grid below, line l is perpendicular to  AB.jpg.

 

3-10B.jpg

 

What is the slope of line l ?

Answer grid.jpg

   

CLICK HERE FOR SOLUTION

Example Three

The line AB is graphed on the coordinate grid below.

A310_Sample_3.png

What is the x-intercept of the line that is perpendicular to line AB at point B?

blank_grid.png

CLICK HERE FOR SOLUTION

Additional Examples

VideoTutorial_banner.JPG
Given a Graph
Please select a video file.
Given Two Points
Please select a video file.
Slope-Intercept Form
Please select a video file.
Point-Slope Form
Please select a video file.
Standard Form
Please select a video file.
Parallel & Perpendicular
Please select a video file.
Parallel Lines
Please select a video file.
Perpendicular Lines
Please select a video file.

Reference Sheet