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Slope of a Curve at a Point definitions

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  • Curve
    A graphical representation where the steepness varies at different locations, unlike a straight line.
  • Slope
    A measure of steepness, calculated as the ratio of vertical change to horizontal change between two points.
  • Point Method
    A technique for finding steepness at a specific location on a graph by using a tangent line.
  • Tangent Line
    A straight line that touches a graph at only one location without crossing it elsewhere.
  • Rise
    The vertical distance between two points used to determine steepness.
  • Run
    The horizontal distance between two points used to determine steepness.
  • Graph
    A visual tool displaying relationships between variables, often used to analyze changes in steepness.
  • Intersection
    A location where a line meets a graph, useful for identifying points to calculate steepness.
  • X Value
    A horizontal coordinate used to measure the run when calculating steepness.
  • Vertical Change
    The difference in height between two points, essential for determining steepness.
  • Horizontal Change
    The difference in horizontal position between two points, essential for determining steepness.
  • Simplification
    The process of reducing a ratio to its simplest form, such as dividing rise by run.
  • Steepness
    The degree to which a graph inclines or declines, varying at different locations on a curve.
  • Specific Point
    A unique location on a graph where steepness is measured using a tangent line.