24. Slope 7 y intercept 9 72 2

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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### Educational Content: Linear Equations and Graphing

#### A. Writing Equations from Slope and Intercepts

**In Problems 21–24, write an equation of the line with the indicated slope and y-intercept.**

21. **Slope** = 2  
    **y-intercept** = 1

22. **Slope** = 1  
    **y-intercept** = 5

23. **Slope** = \(-\frac{1}{3}\)  
    **y-intercept** = 6

24. **Slope** = \(\frac{6}{7}\)  
    **y-intercept** = \(-\frac{9}{2}\)

#### B. Using Graphs to Determine Equation Components

**In Problems 25–28, use the graph of each line to find the x-intercept, y-intercept, and slope. Write the slope-intercept form of the equation of the line.**

25. ![Graph](#)  
26. ![Graph](#)  
27. ![Graph](#)  
28. ![Graph](#)

#### Sketching Graphs

**In Problems 29–34, sketch a graph of each equation or pair of equations in a rectangular coordinate system.**

29. \(y = -\frac{2}{3}x - 2\)  
30. \(y = -\frac{3}{2}x + 1\)  
31. \(3x - 2y = 10\)  
32. \(5x - 6y = 15\)  

#### Graphing and Intercept Calculations

43. **Graph** \(y = 25x + 200, x \geq 0\).  
44. **Graph** \(y = 40x + 160, x \geq 0\).

45. **(A)** Graph \(y = 1.2x - 4.2\) in a rectangular coordinate system.  
    **(B)** Find the x and y intercepts algebraically to one decimal place.  
    **(C)** Graph \(y = 1.2x - 4.2\) in a graphing calculator.  
    **(D)** Find the x and y intercepts to one decimal place using TRACE and the ZERO command.

46. **(A)** Graph \(y
Transcribed Image Text:### Educational Content: Linear Equations and Graphing #### A. Writing Equations from Slope and Intercepts **In Problems 21–24, write an equation of the line with the indicated slope and y-intercept.** 21. **Slope** = 2 **y-intercept** = 1 22. **Slope** = 1 **y-intercept** = 5 23. **Slope** = \(-\frac{1}{3}\) **y-intercept** = 6 24. **Slope** = \(\frac{6}{7}\) **y-intercept** = \(-\frac{9}{2}\) #### B. Using Graphs to Determine Equation Components **In Problems 25–28, use the graph of each line to find the x-intercept, y-intercept, and slope. Write the slope-intercept form of the equation of the line.** 25. ![Graph](#) 26. ![Graph](#) 27. ![Graph](#) 28. ![Graph](#) #### Sketching Graphs **In Problems 29–34, sketch a graph of each equation or pair of equations in a rectangular coordinate system.** 29. \(y = -\frac{2}{3}x - 2\) 30. \(y = -\frac{3}{2}x + 1\) 31. \(3x - 2y = 10\) 32. \(5x - 6y = 15\) #### Graphing and Intercept Calculations 43. **Graph** \(y = 25x + 200, x \geq 0\). 44. **Graph** \(y = 40x + 160, x \geq 0\). 45. **(A)** Graph \(y = 1.2x - 4.2\) in a rectangular coordinate system. **(B)** Find the x and y intercepts algebraically to one decimal place. **(C)** Graph \(y = 1.2x - 4.2\) in a graphing calculator. **(D)** Find the x and y intercepts to one decimal place using TRACE and the ZERO command. 46. **(A)** Graph \(y
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