Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The image shows a graph with a diagonal line passing through the origin and moving upwards to the right. The x-axis ranges from -5 to 5, and the y-axis does the same. The line appears to have a positive slope.
**Graph Details:**
- The line passes through points (-1, -3) and (3, 3), indicating a potential slope calculation.
- This suggests the graph represents a linear equation in the form \( y = mx + b \).
**Equations List:**
- Option a: \( y = -3x \)
- Option b: \( y = 3x \)
- Option c: \( y = 3 \)
- Option d: \( y = 3x + 1 \)
**To Determine:**
- \( m \) (slope) and \( b \) (y-intercept) to identify the correct equation from the options.
- Calculate the slope \( m \) from the points:
\[
m = \frac{3 - (-3)}{3 - (-1)} = \frac{6}{4} = \frac{3}{2}
\]
- The y-intercept \( b \) appears to be 0 since the line goes through the origin.
Given the slope and y-intercept, the equation should be \( y = \frac{3}{2}x \), but none of the options exactly match. Closest is \( y = 3x \) from option b, suggesting an oversight in the provided options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ebf23de-f20b-434d-ac11-1cb1ccd3ae67%2Fcb268346-83ba-436a-ae97-82fb435c5808%2F0uhfcop3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a graph with a diagonal line passing through the origin and moving upwards to the right. The x-axis ranges from -5 to 5, and the y-axis does the same. The line appears to have a positive slope.
**Graph Details:**
- The line passes through points (-1, -3) and (3, 3), indicating a potential slope calculation.
- This suggests the graph represents a linear equation in the form \( y = mx + b \).
**Equations List:**
- Option a: \( y = -3x \)
- Option b: \( y = 3x \)
- Option c: \( y = 3 \)
- Option d: \( y = 3x + 1 \)
**To Determine:**
- \( m \) (slope) and \( b \) (y-intercept) to identify the correct equation from the options.
- Calculate the slope \( m \) from the points:
\[
m = \frac{3 - (-3)}{3 - (-1)} = \frac{6}{4} = \frac{3}{2}
\]
- The y-intercept \( b \) appears to be 0 since the line goes through the origin.
Given the slope and y-intercept, the equation should be \( y = \frac{3}{2}x \), but none of the options exactly match. Closest is \( y = 3x \) from option b, suggesting an oversight in the provided options.
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