1 / 11

Slopes and Equations of Lines

Slopes and Equations of Lines. Lesson 1.1. The Plot Thickens. We plot ordered pairs (x-coord, y-coord) Where would we plot (4, -2)?. (2, 1). •. (-5, 1). •. (-1, -2). •. x-intercept. Line 'em Up. A line is a collection of points When the x-coordinate is zero it intercepts the y-axis

lorne
Télécharger la présentation

Slopes and 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. Slopes and Equations of Lines Lesson 1.1

  2. The Plot Thickens • We plot ordered pairs (x-coord, y-coord) • Where would we plot (4, -2)? (2, 1) • (-5, 1) • (-1, -2) •

  3. x-intercept Line 'em Up • A line is a collection of points • When the x-coordinate is zero it intercepts the y-axis • When the y-coordinate is zero, it intercepts the x-axis y-intercept

  4. Slope of a Line • Represents the "steepness" of a line • Measured by the change in the y-value divided by the change in the x-value • (-3, 2) (3, 0)

  5. Equations of a Line • Slope-Intercept Form • Point-Slope Form

  6. Horizontal, Vertical Lines • Horizontal lines y = 12 • Note: slope is 0 • Vertical lines x = 7 • Note: slope is infinite, or "no slope"

  7. Graphing Lines on the TI Calculator • We wish to graph the equation • Go to the Y= screen – use ♦W or ♦F1 • Enter the function on the entry line • It appears in thelist

  8. Graphing Lines on the TI Calculator • Now specify the standard zoom F2 and 6 • Function will graph on axes

  9. Parallel and Perpendicular Lines • Parallel lines have the same slope • Perpendicular lines haveslopes that are negativereciprocals • Graph these to verify, use Zoom-Square

  10. Try It Out • Find the equation of a line through (2, -5) and parallel to y = 2x + 4 • Find the equation of a line with x-intercept of -2/3 and perpendicular to 2x – 3y = 5 • A business has sales of $27,000 in its 2nd year, $63,000 in 5th year. Let y be the sales for the xth year. Assume the data can be approximated by a st. line. Determine an equation for the sales • Use your answer to find out how many hears until sales surpass $100,000

  11. Assignment • Lesson 1.1 • Page 15 • Exercises 1 – 59 EOO, 61, 67, 75

More Related