# 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.

### Solutions

- Exercise 8.1 | View Online | Download PDF

- Exercise 8.2 | View Online | Download PDF

- Exercise 8.3 | View Online | Download PDF