*This summary of the video was created by an AI. It might contain some inaccuracies.*

## 00:00:00 – 00:09:48

The video discusses proportional relationships on a graph, emphasizing that such relationships are represented by a straight line passing through the origin. Examples include hours walked versus miles walked, rounds of golf played versus rounds on par, and arrows fired versus bull's-eyes hit by Kaz. Non-proportional relationships are also shown, where the line does not pass through the origin. The key takeaway is that a proportional relationship on a graph must meet the criteria of being a straight line passing through the origin to be identified accurately. Practicing graphing helps in understanding and visualizing these relationships effectively.

### 00:00:00

In this segment of the video, the focus is on proportional relationships on a graph. The instructor explains how to graph proportional relationships by using a table of values, where the first column represents X values and the second column represents Y values. By plotting these points, a straight line is created, which must pass through the origin (0,0) to represent a proportional relationship. The example given involves graphing the relationship between hours walked and miles walked. The video emphasizes that all proportional relationships will result in a straight line passing through the origin.

### 00:03:00

In this part of the video, the speaker discusses proportional and non-proportional relationships using examples of graphs. They show a graph representing rounds of golf played versus rounds on par to illustrate a non-proportional relationship that doesn’t go through the origin. Another example is studying hours versus correct test answers, showing a curved line relationship which is also non-proportional. The key points emphasized are that a proportional relationship must be represented by a straight line passing through the origin.

### 00:06:00

In this segment of the video, the speaker discusses the relationship between arrows that Kaz fires and the bull’s-eyes that Kaz gets when plotting points on a graph to determine if it is a proportional relationship. By analyzing the data points, it is observed that when Kaz fires zero arrows, he gets zero bull’s-eyes, forming a straight line through the origin. This scenario represents a proportional relationship. The speaker then introduces a practice question involving different points to graph, determining that the new set of points does not represent a proportional relationship as the line does not pass through the origin, failing to meet the criteria. Practice questions are also suggested for further understanding.

### 00:09:00

In this segment of the video, the speaker discusses how to identify a proportional relationship on a graph. A proportional relationship is characterized by a straight line that passes through the origin. It is emphasized that both these criteria must be met for a relationship to be considered proportional on a graph. Graphing can visually represent proportional relationships effectively. It is important to remember that a proportional relationship on a graph cannot be deduced from just meeting one of these requirements.