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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Can you help me to solve these two please?
![**Question 3**
**What is the slope of the line below?**
The image shows a Cartesian coordinate system with both the x-axis and y-axis ranging from -5 to 5. A straight line is plotted on this graph.
- The line passes through two points:
- Point 1: (-2, -4)
- Point 2: (2, 2)
To find the slope (m) of the line, use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substitute the coordinates of the two points into the formula:
\[ m = \frac{2 - (-4)}{2 - (-2)} = \frac{6}{4} = \frac{3}{2} \]
The slope of the line is \( \frac{3}{2} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f8f9d87-f6eb-46d3-8d19-1b45da502089%2F94bf3611-d69f-42a0-8296-63fb230107ed%2F781tw7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 3**
**What is the slope of the line below?**
The image shows a Cartesian coordinate system with both the x-axis and y-axis ranging from -5 to 5. A straight line is plotted on this graph.
- The line passes through two points:
- Point 1: (-2, -4)
- Point 2: (2, 2)
To find the slope (m) of the line, use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substitute the coordinates of the two points into the formula:
\[ m = \frac{2 - (-4)}{2 - (-2)} = \frac{6}{4} = \frac{3}{2} \]
The slope of the line is \( \frac{3}{2} \).

Transcribed Image Text:**Question 1**
The image shows a coordinate plane with both x and y axes labeled. The x-axis ranges from -5 to 5, and the y-axis ranges from -3 to 5.
A straight line is graphed, passing through the points (2, -3) and (4, 3). The line has a positive slope, indicating that as x increases, y also increases. This suggests a linear function with a positive correlation between x and y values. The line continues beyond the given points, extending indefinitely in both the positive x and y direction as well as towards the negative x and y direction.
In the input box below the graph, the number "3" is displayed. This could potentially represent a solution or answer related to the graph, such as the slope, intercept, or another calculated value.
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