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