Apps L Santa O Other B00 8.2 End Assessment 8 of 13 Victoria Nevarez Problem 6.1 T All of the points in the graph are on the same line. Find the slope of the line. y (6, 10) Submit (а, 8) (4, b) (2, 2)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Find the slope of the line. Explain or show your reasoning (6, 10) (a, 8) (4.b) (2, 2) what is the slope of the line ?

**Problem 6.1**

All of the points in the graph are on the same line.

**Find the slope of the line.**

[Input box for answer]

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**Graph Explanation:**

The graph is a coordinate plane with a straight line passing through four points. The points on the line are labeled as follows:

1. (2, 2)
2. (4, b)
3. (a, 8)
4. (6, 10)

The line is ascending through these points, suggesting a positive slope.

To find the slope of the line (m), use the formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\):

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

To calculate the slope using the given points, select any two points with known coordinates. For example, using points (2, 2) and (6, 10), the slope is:

\[ m = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 \]
Transcribed Image Text:**Problem 6.1** All of the points in the graph are on the same line. **Find the slope of the line.** [Input box for answer] --- **Graph Explanation:** The graph is a coordinate plane with a straight line passing through four points. The points on the line are labeled as follows: 1. (2, 2) 2. (4, b) 3. (a, 8) 4. (6, 10) The line is ascending through these points, suggesting a positive slope. To find the slope of the line (m), use the formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\): \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] To calculate the slope using the given points, select any two points with known coordinates. For example, using points (2, 2) and (6, 10), the slope is: \[ m = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 \]
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