Unit 08: Linear Graph and their Application

On this page notes of Unit 08 of Mathematics 9 written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq are given.

After studying this unit the students will be able to:

  • Identity pair of real numbers as an ordered pair.
  • Recognize an ordered pair through different examples.
  • Describe rectangular or cartesian plane consisting of two number lines interesting at right angles at the point $O$ .
  • Identify origin $\left( O \right)$ and coordinate axes (horizontal and vertical axes or x-axis and y-axis) in the rectangular plane.
  • Locate an ordered pair $\left( a,b \right)$ as a point in the rectangular plane and recognize.
    • $a\,$ as the x-coordinates (or abscissa).
    • $b$ as the y-coordinate (or ordinate).
  • Draw different geometrical shapes (e.g., line segment, triangle and rectangle etc.) by joining a set of given points.
  • Construct a table for pairs of values satisfying a linear equation in two variables.
  • Plot the pairs of points to obtain the graph of a given expression.
  • Chose an appropriate scale to draw a graph.
  • Draw the graph of
    • an equation of the form $y=c.$
    • an equation f the form $x=a.$
    • an equation f the form $y=mx.$
    • an equation f the form $y=mx+c.$
  • Draw the graph from the given table of (discrete) values.
  • Solve appropriate real life problems.
  • Interpret conversion graph as a linear graph relating to two equations which are in direct proportion
  • Read the graph to know one quantity corresponding to another.
  • Read the graph of conversions of the fom.
    • miles and kilometers,
    • acres and hectares,
    • degrees Celsius and degree Fahrenheit,
    • Pakistani currency and another currency, etc.
  • Solve simultaneous linear equations in two variables using graphical method.
  • matric/9th_science/unit08
  • Last modified: 3 weeks ago
  • by Dr. Atiq ur Rehman