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Coordinate Geometry - Lines and Slopes

In this topic, we will learn to identify polygons in the coordinate plane. Finding the slopes of lines and identification of parallel and perpendicular lines using slopes is also covered in this topic.

Topic: Slope of a Line

  • Slope is a number that describes how steep a line is.
    Slope = Vertical change/Horizontal change = Rise/Run

  • Rise is the number of units we move up or down. It is positive if we move up and negative if we move down

  • Run is the number of units we move right or left. It is positive if we move right and negative if we move left

  • If a line rises from left to right, its slope is positive. If a line falls from left to right, its slope is negative

  • The slope of a horizontal line is 0. The slope of a vertical line is undefined

Topic: Identify Quadrilaterals Using Slopes

  • Slope is a number that describes how steep a line is.
    Slope = Vertical change/Horizontal change = Rise/Run

  • Two lines with equal slopes are parallel

  • Two lines are perpendicular if the product of their slopes is -1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)

  • Find the missing coordinates with the help of slope

Topic: Problem Solving Application

  • Slope is a number that describes how steep a line is.
    Slope = Vertical change/Horizontal change = Rise/Run

  • Two points on a graph represent an interval

  • The slope between the two points is the average rate of change of one variable relative to the other in that interval

Topic: Slope of Parallel and Perpendicular Lines

  • Slope is a number that describes how steep a line is.
    Slope = Vertical change/Horizontal change = Rise/Run

  • Two lines with equal slopes are parallel

  • Two lines are perpendicular if the product of their slopes is -1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)
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