33. y = -3x + 1

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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Graph the equation by plotting points.

33. \( y = -3x + 1 \)

This equation represents a linear function in slope-intercept form, where \( y \) is the dependent variable, \( x \) is the independent variable, the number -3 is the slope of the line, and 1 is the y-intercept. 

- **Slope**: The slope of -3 indicates that for every unit increase in \( x \), \( y \) decreases by 3 units. The negative sign indicates that the line slopes downward.
  
- **Y-intercept**: The line intersects the y-axis at the point (0, 1). 

If graphing the equation, the line would start at the y-intercept of 1 on the y-axis and move downward with a slope of -3.
Transcribed Image Text:33. \( y = -3x + 1 \) This equation represents a linear function in slope-intercept form, where \( y \) is the dependent variable, \( x \) is the independent variable, the number -3 is the slope of the line, and 1 is the y-intercept. - **Slope**: The slope of -3 indicates that for every unit increase in \( x \), \( y \) decreases by 3 units. The negative sign indicates that the line slopes downward. - **Y-intercept**: The line intersects the y-axis at the point (0, 1). If graphing the equation, the line would start at the y-intercept of 1 on the y-axis and move downward with a slope of -3.
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