====== 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.
{{ :matric:9th_science:unit-08-9th-science-ptb.jpg?nolink|Unit 08: Linear Graph and their Application}}
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.

====Solutions====
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  * Exercise 8.1 | VIEW [[:matric:9th_science:unit08:viewer?f=ex8-1-9th-science-ptb|View Online]] | {{ :matric:9th_science:ex8-1-9th-science-ptb.pdf |Download PDF}}

  * Exercise 8.2 | VIEW [[:matric:9th_science:unit08:viewer?f=ex8-2-9th-science-ptb|View Online]] | {{ :matric:9th_science:ex8-2-9th-science-ptb.pdf |Download PDF}} NEW

  * Exercise 8.3 | VIEW [[:matric:9th_science:unit08:viewer?f=ex8-3-9th-science-ptb|View Online]] | {{ :matric:9th_science:ex8-3-9th-science-ptb.pdf |Download PDF}} NEW
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