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Systems of Linear Equations in Two Variables
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Without graphing, how will you determine if the lines are coincident?
Both slopes and y-intercepts are equal.
Without graphing, how will you determine if the lines are intersecting?
the slopes are not equal
Without graphing, how will you determine if the lines are parallel?
The slopes are equal.
Which system of linear equations has a graph where lines are parallel?
inconsistent system
Which system of linear equations has a graph where lines intersect?
consistent-independent system
Which system of linear equations has a graph where lines coincide?
consistent-dependent system
Which system of linear equations has a graph where lines coincide?
consistent-dependent system
Who systematized the rectangular coordinate system?
René Descartes
What is the solution of two intersecting lines?
its point of intersection
How many solutions do intersecting lines have?
one solution
How many solutions do coincident lines have?
infinitely many solutions
What is the abscissa in the ordered pair (-3, 3)?
-3
In an ordered pair, what do you call the x-coordinate?
abscissa
Describe the graph of these equations: y = 3x -7 and y = x + 5
The lines intersect.
What is the y-intercept of the equation y = 3x - 7?
-7
What is the slope of the equation y = 3x - 7?
3
Describe the graph of a system of linear equations where the slopes are equal but the y-intercepts are not equal.
The lines are parallel.
What are equal in a consistent-dependent system of linear equations?
slopes and y-intercepts
TRUE OR FALSE. The graph of a consistent-independent system shows intersecting lines?
TRUE
How many elements are there in the latest periodic table?
118
What is Ms. Velez' Zodiac sign?
Capricorn
What is Ms. Velez' favorite color?
navy blue
How many solutions does consistent-dependent system have?
infinitely many solutions
How many solutions does an inconsistent system have?
no solution
TRUE OR FALSE. The system is consistent-dependent when the lines are parallel.
FALSE
Two lines with slopes being negative reciprocals of each other.
perpendicular lines
How does the graph of lines look like if their slopes are not equal?
The lines intersect.
Any ordered pair that satisfies the equations independently.
solution
It is a set of two or more linear equations that work together.
system of linear equation
What is the coordinate of the midpoint of the x and y axes?
(0, 0)
The ordered pair (-2, 1) is in which quadrant?
Q II
The ordered pair (3, -4) is in which quadrant?
Q IV
In the ordered pair (5, -8), what is the ordinate?
-8
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