1 / 9

Slope

Slope. Lesson 4.6. Slope:. Change of y over the change of x Use m for slope Equation:. 1. 2. m =. 2. 1. ∆y ∆x. ∆ Delta y over delta x ∆ delta means change Rise over run. m =. Find the slope of a line given two points:. 1. 2. m =. 2. 1. 3 - - 2 6 - 5. 5 1.

kovit
Télécharger la présentation

Slope

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. Slope Lesson 4.6

  2. Slope: Change of y over the change of x Use m for slope Equation: 1 2 m = 2 1

  3. ∆y∆x • ∆ Delta y over delta x • ∆ delta means change • Rise over run m =

  4. Find the slope of a line given two points: 1 2 m = 2 1 3 - -2 6 - 5 5 1 = = 5 (5, -2) (6, 3)

  5. Four special slopes: Positive slope: m>0 Negative slope: m<0

  6. Vertical slope: no slope undefined Horizontal slope: m=0 Slope is zero

  7. Slope of parallel lines: Parallel lines have the same slope but different y-intercepts. Graph: y = 2x + 2 and y = 2x - 3 on the same graph.

  8. Perpendicular lines: slopes are the opposite reciprocals of each other Their product equals -1. Graph: y = x+3 and y = x -1 on the same graph. = -1 

  9. Show that CEF is a right triangle. What do I have to prove in order for it to be a right triangle? (Two sides slopes’ need to be opposite reciprocals in order to have a right angle.) 1. Slope of CE = 4 - 3 8 - 1 = 1 . 7 Since the slopes of FE & FC are opposite reciprocals, F is a right . Therefore, CEF is a right triangle. 2. Slope of FE = 7 - 4 4 - 8 = 3 . -4 3. Slope of FC = 3 - 7 1 - 4 = -4 . -3 = 4 3

More Related