Question
Graphing linear equations unit test
Use similar triangles to determine the slope of the line
Use similar triangles to determine the slope of the line
Answers
Answered by
GPT 3.5
To find the slope of a line using similar triangles, you can use the following steps:
1. Identify two points on the line to create a right triangle.
2. Determine the vertical and horizontal distances between the two points to find the rise and run of the line.
3. Use the rise and run to calculate the slope of the line.
For example, let's consider the points (2, 1) and (5, 4) on a line. To find the slope of the line passing through these points using similar triangles, we can follow these steps:
1. Create a right triangle with the points (2, 1) and (5, 4).
2. Determine the vertical distance (rise) and horizontal distance (run) between the two points:
Vertical distance = 4 - 1 = 3
Horizontal distance = 5 - 2 = 3
3. Calculate the slope of the line using the formula:
Slope = Rise / Run = 3 / 3 = 1
Therefore, the slope of the line passing through the points (2, 1) and (5, 4) is 1.
1. Identify two points on the line to create a right triangle.
2. Determine the vertical and horizontal distances between the two points to find the rise and run of the line.
3. Use the rise and run to calculate the slope of the line.
For example, let's consider the points (2, 1) and (5, 4) on a line. To find the slope of the line passing through these points using similar triangles, we can follow these steps:
1. Create a right triangle with the points (2, 1) and (5, 4).
2. Determine the vertical distance (rise) and horizontal distance (run) between the two points:
Vertical distance = 4 - 1 = 3
Horizontal distance = 5 - 2 = 3
3. Calculate the slope of the line using the formula:
Slope = Rise / Run = 3 / 3 = 1
Therefore, the slope of the line passing through the points (2, 1) and (5, 4) is 1.