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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![**Question:**
A line that goes through the origin and also contains the point (-3, 4) has what type of slope?
- ○ Positive
- ○ Negative
- ○ Undefined
- ○ Zero
**Explanation:**
To find the slope of a line passing through two points, use the formula:
\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
The line passes through the origin (0, 0) and the point (-3, 4).
Let's calculate the slope:
- \(x_1 = 0, y_1 = 0\) (origin)
- \(x_2 = -3, y_2 = 4\) (given point)
Plug these values into the formula:
\[ \text{slope} = \frac{4 - 0}{-3 - 0} = \frac{4}{-3} = -\frac{4}{3} \]
Since the slope is negative, the correct answer is:
- ○ Negative](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F228f657a-225f-4498-8165-fa393992bf65%2Fe874741e-3765-407a-b0e0-72fa1dcb9bc6%2F9jbrmo5_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
A line that goes through the origin and also contains the point (-3, 4) has what type of slope?
- ○ Positive
- ○ Negative
- ○ Undefined
- ○ Zero
**Explanation:**
To find the slope of a line passing through two points, use the formula:
\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
The line passes through the origin (0, 0) and the point (-3, 4).
Let's calculate the slope:
- \(x_1 = 0, y_1 = 0\) (origin)
- \(x_2 = -3, y_2 = 4\) (given point)
Plug these values into the formula:
\[ \text{slope} = \frac{4 - 0}{-3 - 0} = \frac{4}{-3} = -\frac{4}{3} \]
Since the slope is negative, the correct answer is:
- ○ Negative
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