Working in Pairs
Are two heads better than one?
OBJECTIVE: To learn how to describe systems of linear equations
In a previous lesson, you learned about the properties of special pairs of lines—parallel lines and perpendicular lines.
Watching 'Em Dance: https://www.geogebra.org/m/arfhcasa
In this lesson, you'll be introduced to other pairs of lines and be able to describe them as:
1. consistent and independent, inconsistent, or dependent.
2. intersecting, parallel, or coincident
3. having one solution, no solution, or infinitely many solutions
INSTRUCTIONS:
1. Write each pair of lines in SLOPE-INTERCEPT FORM (y = mx + b). The first has been done for you.
Pair 1st Equation Slope-Intercept Form 2nd Equation Slope-Intercept Form
A 
B 
________ 
________
C 
________ 
________
D 
________ 
________
E 
________ 
________
F 
________ 
________
G 
________ 
________
H 
________ 
________
I 
________ ________
J 
________ 
________
2. Enter the SLOPE-INTERCEPT FORM of each pair of lines in their respective boxes in the applet below.
3. Take note of the description that appears after the applet graphs each pair of lines.
4. Answer the questions that follow the activity.
B ________ ________
C ________ ________
D ________ ________
E ________ ________
F ________ ________
G ________ ________
H ________ ________
I ________ ________
J ________ ________
2. Enter the SLOPE-INTERCEPT FORM of each pair of lines in their respective boxes in the applet below.
3. Take note of the description that appears after the applet graphs each pair of lines.
4. Answer the questions that follow the activity.QUESTION: What description appears if the slopes of the two lines are not equal?
QUESTION: What description appears if the slopes of the two lines are equal, but the y-intercepts are not equal?
QUESTION: What description appears if the slopes of the two lines are equal, and the y-intercepts are also equal?
TODAY you learned how to describe systems of linear equations.
In future lessons, you'll learn how to find the solution of systems of linear equations graphically and algebraically. Did you ENJOY doing today's lesson?