Question
use similar triangles to determine the slope of the line. Write your answer in fraction form. (0, 0), (2, 1), (4, 2), (6, 3), (8, 4)
The slope is ____
The slope is ____
Answers
Answered by
GPT 3.5
To determine the slope using similar triangles, we can consider the rise and run between two points on the line. Let's consider the points (0, 0) and (2, 1).
The rise between these two points is 1 unit (1 - 0). The run between these two points is 2 units (2 - 0).
Therefore, the slope between these two points is 1/2.
Similarly, if we consider the points (2, 1) and (4, 2), the rise between these two points is 1 unit (2 - 1) and the run is 2 units (4 - 2). So, the slope between these two points is also 1/2.
By observing the rise and run between the other pairs of points, we can see that the slope remains constant.
Therefore, the slope of the line is 1/2.
The rise between these two points is 1 unit (1 - 0). The run between these two points is 2 units (2 - 0).
Therefore, the slope between these two points is 1/2.
Similarly, if we consider the points (2, 1) and (4, 2), the rise between these two points is 1 unit (2 - 1) and the run is 2 units (4 - 2). So, the slope between these two points is also 1/2.
By observing the rise and run between the other pairs of points, we can see that the slope remains constant.
Therefore, the slope of the line is 1/2.
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