Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Find the slope of line AB.
## Classifying Triangles **Triangle #1** In the diagram below, triangle ABC has vertices A(4,5), B(2,1), and C(7,3). ### Diagram Description: The diagram represents a Cartesian coordinate plane with the x-axis and y-axis. The points A, B, and C form a triangle. The coordinates of the points are: - A (4,5) - B (2,1) - C (7,3) ### Questions: 1. **Find the slope of line AB.** - ○ 1/2 - ● 2 - ○ -1/2 - ○ -2 2. **Find the slope of line BC.** - ○ 5/2 - ○ -5/2 - ● 2/5 - ○ -2/5 3. **Find the slope of line AC.** - ● 2/3 The slopes can be calculated using the slope formula: \[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \] For example, to find the slope of line AB, use the coordinates of points A and B: \[ \text{slope of AB} = \frac{5 - 1}{4 - 2} = \frac{4}{2} = 2 \]
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Transcribed Image Text:## Classifying Triangles **Triangle #1** In the diagram below, triangle ABC has vertices A(4,5), B(2,1), and C(7,3). ### Diagram Description: The diagram represents a Cartesian coordinate plane with the x-axis and y-axis. The points A, B, and C form a triangle. The coordinates of the points are: - A (4,5) - B (2,1) - C (7,3) ### Questions: 1. **Find the slope of line AB.** - ○ 1/2 - ● 2 - ○ -1/2 - ○ -2 2. **Find the slope of line BC.** - ○ 5/2 - ○ -5/2 - ● 2/5 - ○ -2/5 3. **Find the slope of line AC.** - ● 2/3 The slopes can be calculated using the slope formula: \[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \] For example, to find the slope of line AB, use the coordinates of points A and B: \[ \text{slope of AB} = \frac{5 - 1}{4 - 2} = \frac{4}{2} = 2 \]
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