Homework Help is Here – Start Your Trial Now!
Math
Algebra
Express the slope of the line passing through each pair of points using an integer or reduced fraction, or state that the ope is undefined. Tell if the line through the points rises or falls (from left to right), or is horizontal or vertical. Show your ork clearly. a. (2,4) and (3,-2) b. (-7,-2) and (-7,2) slope is: the line: slope is: the line:

Express the slope of the line passing through each pair of points using an integer or reduced fraction, or state that the ope is undefined. Tell if the line through the points rises or falls (from left to right), or is horizontal or vertical. Show your ork clearly. a. (2,4) and (3,-2) b. (-7,-2) and (-7,2) slope is: the line: slope is: the line:

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
Question
### Slope Calculation and Line Orientation #### Task Express the slope of the line passing through each pair of points using an integer or reduced fraction, or state that the slope is undefined. Determine if the line through the points rises or falls (from left to right), or is horizontal or vertical. Show your work clearly. #### Problems **a. For the points (2, 4) and (3, -2):** - **Slope Calculation:** The formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). - **Solution:** - Substituting the given points: \(m = \frac{-2 - 4}{3 - 2} = \frac{-6}{1} = -6\). - **Slope is:** \(-6\). - **Line Description:** Since the slope is negative, the line falls from left to right. - **The line:** Falls. **b. For the points (-7, -2) and (-7, 2):** - **Slope Calculation:** - Substituting the given points: \(m = \frac{2 - (-2)}{-7 - (-7)} = \frac{4}{0}\). - Division by zero indicates that the slope is undefined. - **Slope is:** Undefined. - **Line Description:** Since the slope is undefined, the line is vertical. - **The line:** Vertical. ### Explanation In these exercises, the slope helps in understanding how steep a line is and its direction. A positive slope means the line rises, a negative slope means it falls, zero slope means it's horizontal, and an undefined slope indicates a vertical line.
Transcribed Image Text:### Slope Calculation and Line Orientation #### Task Express the slope of the line passing through each pair of points using an integer or reduced fraction, or state that the slope is undefined. Determine if the line through the points rises or falls (from left to right), or is horizontal or vertical. Show your work clearly. #### Problems **a. For the points (2, 4) and (3, -2):** - **Slope Calculation:** The formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). - **Solution:** - Substituting the given points: \(m = \frac{-2 - 4}{3 - 2} = \frac{-6}{1} = -6\). - **Slope is:** \(-6\). - **Line Description:** Since the slope is negative, the line falls from left to right. - **The line:** Falls. **b. For the points (-7, -2) and (-7, 2):** - **Slope Calculation:** - Substituting the given points: \(m = \frac{2 - (-2)}{-7 - (-7)} = \frac{4}{0}\). - Division by zero indicates that the slope is undefined. - **Slope is:** Undefined. - **Line Description:** Since the slope is undefined, the line is vertical. - **The line:** Vertical. ### Explanation In these exercises, the slope helps in understanding how steep a line is and its direction. A positive slope means the line rises, a negative slope means it falls, zero slope means it's horizontal, and an undefined slope indicates a vertical line.
Expert Solution
Step 1

Topic = Coordinate geometry

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS