1 / 8

Graphing Equations & Equations of Lines

Graphing Equations & Equations of Lines. Lesson 13.1 & 13.2. Strategies to Graph a Line. Make a table. Special lines Vertical lines Horizontal Lines Intercepts (x, 0) & (0, y) Slope-intercept form. Make a Table & Graph 2x – 4y = 10. -3. - 5 / 2. -2. - 3 / 2.

charis
Download Presentation

Graphing Equations & Equations of Lines

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Graphing Equations & Equations of Lines Lesson 13.1 & 13.2

  2. Strategies to Graph a Line • Make a table. • Special lines • Vertical lines • Horizontal Lines • Intercepts (x, 0) & (0, y) • Slope-intercept form

  3. Make a Table & Graph 2x – 4y = 10 -3 -5/2 -2 -3/2

  4. Special lines:Graph y = 4 & x = -2 y = 4 is a horizontal line where all the y values are 4. x = -2 is a vertical line where all of the x values are -2.

  5. InterceptsFind the x- and y- intercepts for the line 2x – 5y = 10, then graph. X –intercept: What is x when y is zero? 2x – 5(0) = 10 x = 5 …. (5, 0) Y-intercept: What is y when x is zero? 2(0) – 5y = 10 y = -2 … (0, -2)

  6. Use Slope-Intercept Form to Graph the Line y = 2x - 5. • y = mx + b • y & x are any point (x, y) that line on the line. • m is the slope • b is the y-intercept (0, b) • In the equation y = 2x – 5, • m = 2 • b = (0, -5) • Graph the y-intercept • Graph the slope • Connect the dots.

  7. Various Forms of Linear Equations • Slope-Intercept Form (y-form) • y = mx + b • Point-Slope Form • y – y1 = m(x – x1) • m = slope and (x1, y1) is a known point • Standard Form (General Form) • Ax + By = C

  8. Things NOT to Forget about Linear Equations • Parallel Lines have the SAME slope but different y-intercepts. • Perpendicular lines have slopes that are negative reciprocals. • Vertical lines have a slope that is undefined. • Horizontal lines have a slope of zero. • Midpoint between two points is found using the formula: x1 + x2 , y1 + y2 2 2

More Related