Answer:
To find the slope of a line using the slope triangle, we need to identify two points on the line and determine the change in y-coordinates (vertical change) divided by the change in x-coordinates (horizontal change). The slope triangle is formed by connecting these two points with a straight line.
Unfortunately, as an AI text-based model, I am unable to view or interpret visual content such as graphs. However, I can provide you with a general explanation of how to find the slope using the slope triangle.
Let's assume we have two points on the line, (x1, y1) and (x2, y2). The slope of the line can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this formula, (y2 - y1) represents the change in y-coordinates or vertical change, while (x2 - x1) represents the change in x-coordinates or horizontal change. By dividing these two values, we obtain the slope of the line.
It is important to note that if the line is vertical, meaning that there is no horizontal change (x2 - x1 = 0), then the slope is undefined. This occurs because division by zero is undefined in mathematics.
To further illustrate this concept, let's consider an example. Suppose we have two points on a line: point A with coordinates (3, 5) and point B with coordinates (7, 9). We can calculate the slope using the formula mentioned earlier:
slope = (9 - 5) / (7 - 3)
slope = 4 / 4
slope = 1
Therefore, in this example, the slope of the line passing through points A and B is 1.
In conclusion, to find the slope of a line using the slope triangle method, you need to identify two points on the line and calculate the change in y-coordinates divided by the change in x-coordinates. This will give you the slope of the line.
Explanation: