*posted by Mr Johari*

*This activity is an introduction on function, algebraic equation involving x and y and graphical representation of linear equation.*

Approach: Individual or pair work using ICT graphical tools (Grapher or Geogebra)

Resource: ICT Linear Equation worksheet.

**Task 1**

**Complete the given worksheet**

section 1, 2, 3 and 4 and answer the corresponding questions given.

In a nutshell:

**A. section 1: general for y=a***horizontal straight lines and parallel to each other. No slope and all lines pass through the y-axis according to given equation. eg. line of equation y=2 passes y-axis at 2. The lines do not meet (intercept).*

**observation:**

**B. section 2: general for x=b***vertical straight lines and parallel to each other. since the lines are all vertical the slope cannot be defined (no value can be given). The lines pass through the x-axis according to the given equation. eg. line of equation x= 4 passes x-axis at 4.*

**observation:**

**C. section 3: general for y=mx + c, c=0***diagonal straight lines (or lines at an angle) that all converge or meet at the origin (the point where the x-axis meets the y-axis). Henc*

**observation:**e c refers to the point where the lines meet the y-axis (in this case c=0). When m is negative the lines slope downwards (bottom left to top right) and when m is positive the lines slope upwards (top left to bottom right). m is also known as the slope or gradient (refer to geographical concept of slope / gradient of rise and run)

**D. section 4: general for y=mx + c***diagonal lines as in section3 but m remains the same (m=2) but the lines meet the y-axis at different values. all lines are parallel (because m=2) but intersect (meet) the y-axis according to the value of c. i.e. if y=2x+4 the slope is positive and the y-intercept (where it meets the y-axis) is at 2.*

**observation:**

**E. section 5: general for y=mx + c***diagonal lines as in section3 but c remains the same (c=1). The lines have the same intersection point (i.e. meet the y-axis at y=3) but have different slope or gradient.***observation:**Conclusion

**Task 2**

Refer to the link on Graph (by GCSE Bitesize) to learn by graphical representation and plotting.

activity 1: learn about coordinate system

Leading questions for you to answer (

**):***post in your comment*reference: Cartesian Plane and Descartes or intro to Cartesian Plane

- what is a Cartesian Plane?
- what is ordinate? abscissa? what is the significance of (x,y)
- give an example of a practical use of coordinate system (provide links to examples)
- a student was posed with the following problem 'A man Jim has twice the amount of money than his friend Lemin - present the above information as an equation in x and y and show a graphical representation of this equation'. show graphically how much will Lemin has if Jim has $4000.

In the following task, you are required to use Geogebra.

You are provided with the graph of y against x.

A linear graph has been plotted with the equation unknown.

Please comment on the following:

(1) the shape of the graph

(2) the possible equation of this linear graph (other than y=2x)

Please post your comments to TASK 2 here

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