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Linear Relations

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  • What does a negative gradient look like?
    A line goes downhill from left to right.
  • What is the origin?
    The point with coordinates (0,0) on the number plane where the x and y axes intersect.
  • Solve the equation y = 2x+3, x = 1
    5
  • What is the gradient?
    A measure of the steepness of a straight line.
  • What is the y-intercept?
    A point where the line crosses the y-axis and 𝑥 = 0.
  • What is the rule for a straight line where m is the gradient and c is the y-intercept?
    y=mx+c
  • What are coordinates?
    An ordered pair written in the form (x, y) that states the location of a point on the number plane.
  • What does an undefined gradient look like?
    A vertical line.
  • What is the x-intercept?
    A point where the line crosses the x-axis and 𝑦 = 0.
  • What is a linear relationship?
    A set of ordered pairs (x, y) that when graphed give a straight line.
  • What does a zero gradient look like?
    A horizontal line.
  • What is a quadrant?
    One quarter of the number plane.
  • What does a positive gradient look like?
    A line goes uphill from left to right.
  • What is the gradient formula?
    m = (rise / run)
  • Solve the equation 5x−2y = 10, x = 4
    5
  • What is the equation of a straight line that goes through the origin?
    y=mx
  • What is the Cartesian plane?
    A two-dimensional rectangular grid for locating position, also called a number plane.
  • Solve the equation y = −3x+4, x = 2
    -2
  • Solve the equation 2x + y = 6, x = 2
    2
  • Solve the equation y= (1/2)x − 1, x = 4
    1
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