Write the equation of the line with a

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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9. Write the equation of the line with a slope of 2 and contains points (4,7). Select all that apply.
### Question 9: Write the Equation of the Line

**Write the equation of the line with a slope of 2 and a y-intercept of -1:**

A. \( y + 7 = 2(x + 4) \)

B. \( y = 2x + 7 \)

C. \( y - 7 = 2(x - 4) \)

D. \( y = 2x + 1 \)

E. \( y = 2x - 1 \)

**Explanation:**

To write the equation of a line in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept, we need to identify the slope (\( m \)) and the y-intercept (\( b \)).

Given:
- Slope (\( m \)) = 2
- Y-intercept (\( b \)) = -1

By substituting these values into the slope-intercept form, we get:

\[ y = 2x - 1 \]

Thus, the correct answer is:
E. \( y = 2x - 1 \)
Transcribed Image Text:### Question 9: Write the Equation of the Line **Write the equation of the line with a slope of 2 and a y-intercept of -1:** A. \( y + 7 = 2(x + 4) \) B. \( y = 2x + 7 \) C. \( y - 7 = 2(x - 4) \) D. \( y = 2x + 1 \) E. \( y = 2x - 1 \) **Explanation:** To write the equation of a line in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept, we need to identify the slope (\( m \)) and the y-intercept (\( b \)). Given: - Slope (\( m \)) = 2 - Y-intercept (\( b \)) = -1 By substituting these values into the slope-intercept form, we get: \[ y = 2x - 1 \] Thus, the correct answer is: E. \( y = 2x - 1 \)
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