**Ubuntu Linux OS** version 14.04

**Java** version 1.7

**Firefox Web Browser** version 53.02.2

1. About Cartesian coordinate system

2. How to calculate the **slope** of a graphed line

3. To **save** the plotted lines

5. How changing **variable**s in a **linear** equation will affect the line.

Select the option **Open With Firefox Web Browser**. File opens in the browser.

**Line Game**.

Automatically **Slope** check-box is disabled.

Observe that on moving purple and yellow points, x1, y1 and x2, y2 values can be changed.

28 00:03:54 --> 00:04:03 As we move the points, slope of the line changes.Observe the change in values of x and y in the formula box.

29 00:04:04 --> 00:04:13 At the bottom of the screen, we have gray boxes to display coordinates of a point. These gray boxes are called asDrag one of the **Point** tool and place it on the origin.

Drag the **point** tool and place it on yellow point.
This confirms that yellow point is at(2,8).

1. Find when slope is zero and when it is undefined.

2. Give an explanation.

46 00:06:04 --> 00:06:09 Now, let us exploreWhen we move the purple point, intercept for the line changes.

51 00:06:44 --> 00:06:52 The blue point is free to move across the graph.When we move the blue point, slope of the line changes.

52 00:06:53 --> 00:07:01 Click onClick on **Save Line**. Line is saved.

Notice that slope is 1 while **Intercept** still remains 1.

Notice that the new line is parallel to the first line but intercepts y-axis at 4.

55 00:07:31 --> 00:07:34 Click onNotice that we have three lines passing through the origin.

62 00:08:19 --> 00:08:22 Now, let us now move on toIn this method, x and y values are defined.

65 00:08:41 --> 00:08:52 For a given value of (x, y),Drag and place purple point to (5,0).

70 00:09:20 --> 00:09:23 Then drag the blue point to (5,5). 71 00:09:24 --> 00:09:30 Notice that line is parallel to y-axis and slope is undefined. 72 00:09:31 --> 00:09:34 Click onNotice that **Slope** is undefined all along the x-axis.

These games will test the knowledge gained using this simulation.

77 00:10:02 --> 00:10:07 It has a1. About Cartesian coordinate system with x and y axes.

2. How to calculate the slope of a graphed line.

3. To **save** the plotted lines

1. Using **Slope-Intercept** screen, find when the value of slope is 1.

2. Using **Point-Slope** screen, find in which quadrants slope is positive.

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