1537 graphing lines
Download as PPT, PDF0 likes148 views
The document provides a tutorial on graphing lines, covering essential concepts like slope, y-intercept, and x- and y-intercepts. Various examples illustrate how to calculate slope and intercepts for different linear equations. It includes step-by-step solutions to find x- and y-intercepts for given equations.
1537 graphing lines
- 1. Graphing Lines slope & y-intercept & x- & y- intercepts Jeffrey Bivin Lake Zurich High School Jeff.bivin@lz95.org Last Updated: September 6, 2007
- 2. Graphing Lines Jeff Bivin -- LZHS
- 3. y = 2x + 1 Rise Run 2 1 slope y-intercept 1 2 = run rise b = 1 m = 2 y = 2x + 1 Jeff Bivin -- LZHS
- 4. y = -3x + 2 Rise Run -3 1 slope y-intercept 1 3− = run rise b = 2 m = -3 y = -3x + 2 Jeff Bivin -- LZHS
- 5. Rise Run 2 3 slope y-intercept 3 2 = run rise b = -1 1 3 2 −= xy Jeff Bivin -- LZHS 3 2 =m
- 6. Rise Run -1 2 slope y-intercept 2 1− = run rise b = 3 3 2 1 + − = xy Jeff Bivin -- LZHS 2 1− =m
- 7. Graphing Lines Jeff Bivin -- LZHS
- 8. 2x + 3y = 5 x-intercept 2x + 3(0) = 5 2x + 0 = 5 2x = 5 2 5 =x y-intercept 2(0) + 3y = 5 0 + 3y = 5 3y = 5 3 5 =y ( )3 5 ,0 ( )0,2 5 Jeff Bivin -- LZHS
- 9. 4x - y = 6 x-intercept 4x - (0) = 6 4x - 0 = 6 4x = 6 2 3 =x y-intercept 4(0) - y = 6 0 - y = 6 -y = 6 6−=y ( )6,0 − ( )0,2 3 Jeff Bivin -- LZHS
- 10. 4x + 2y = 3 x-intercept 4x + 2(0) = 3 4x + 0 = 3 4x = 3 4 3 =x y-intercept 4(0) + 2y = 3 0 + 2y = 3 2y = 3 2 3 =y ( )2 3 ,0 ( )0,2 5 Jeff Bivin -- LZHS
- 11. 3x - 2y = 7 x-intercept 3x - 2(0) = 7 3x - 0 = 7 3x = 7 3 7 =x y-intercept 3(0) - 2y = 7 0 - 2y = 7 -2y = 7 2 7− =y ( )2 7 ,0 − ( )0,3 7 Jeff Bivin -- LZHS