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)
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
Problem 1CT
Related questions
Question
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]
---
**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:
\[ m = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f078b72-1e16-441a-bde4-8ef07e1082f1%2F5e574e7f-6a0c-479b-b56d-da13f97ac6ee%2Fs8lgzz9_processed.jpeg&w=3840&q=75)
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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