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Write the following equation in standard form: y = 1/2x + 1 A) 2x-y= -1 B) x-2y = -2 c) 2x + 2y = -2 D none of these Ex+2y = -2 F) 2y x+ 2

Write the following equation in standard form: y = 1/2x + 1 A) 2x-y= -1 B) x-2y = -2 c) 2x + 2y = -2 D none of these Ex+2y = -2 F) 2y x+ 2

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,...
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**Question 19:** Write the following equation in standard form: \( y = \frac{1}{2}x + 1 \) Options: - A) \( 2x - y = -1 \) - B) \( x - 2y = -2 \) - C) \( 2x + 2y = -2 \) - D) None of these - E) \( x + 2y = -2 \) - F) \( 2y = x + 2 \) **Question 20:** What is the nature of the following equation: \( 4 + y - 1 = 3y - 3 \) Options: - A) Slanted - B) Horizontal **Explanation:** - **Standard Form of a Linear Equation:** The standard form of a linear equation is \( Ax + By = C \), where A, B, and C are integers, and A should be non-negative. - **Nature of Equation:** Determining if a line is horizontal, slanted, or vertical. A horizontal line has an equation of the form \( y = \text{constant} \), while other forms indicate slanted lines. This exercise aims to test your understanding of converting equations to standard form and identifying the type of line represented by an equation.
Transcribed Image Text:**Question 19:** Write the following equation in standard form: \( y = \frac{1}{2}x + 1 \) Options: - A) \( 2x - y = -1 \) - B) \( x - 2y = -2 \) - C) \( 2x + 2y = -2 \) - D) None of these - E) \( x + 2y = -2 \) - F) \( 2y = x + 2 \) **Question 20:** What is the nature of the following equation: \( 4 + y - 1 = 3y - 3 \) Options: - A) Slanted - B) Horizontal **Explanation:** - **Standard Form of a Linear Equation:** The standard form of a linear equation is \( Ax + By = C \), where A, B, and C are integers, and A should be non-negative. - **Nature of Equation:** Determining if a line is horizontal, slanted, or vertical. A horizontal line has an equation of the form \( y = \text{constant} \), while other forms indicate slanted lines. This exercise aims to test your understanding of converting equations to standard form and identifying the type of line represented by an equation.
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