1 / 18

A.F 3.1- Graph Functions A.F 3.3- Slope

A.F 3.1- Graph Functions A.F 3.3- Slope. Per 3, 5: 11/21/11 Per 2, 4, 6: 11/22/11. AF 3.1- Graph Functions. You will be given a graph and must select the equation that best matches that graph. Graph Equations. y= x straight line (pointing right) y= -x straight line (pointing left)

demetrius-martinez
Download Presentation

A.F 3.1- Graph Functions A.F 3.3- 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. A.F 3.1- Graph FunctionsA.F 3.3- Slope Per 3, 5: 11/21/11 Per 2, 4, 6: 11/22/11

  2. AF 3.1- Graph Functions • You will be given a graph and must select the equation that best matches that graph.

  3. Graph Equations • y= x straight line (pointing right) • y= -x straight line (pointing left) • y= x2parabola (U shape, open up) • y= -x2 parabola (U shape, open down) • y= x3 cubic graph (snake shape, twisted) • y= -x3 cubic graph (snake shape, twisted)

  4. AF 3.3- Slope • The slope is the number that tells how much a line rises (goes up) or falls (goes down) as it moves from left to right across the x-y plane.

  5. Slope Equation • With the slope equation, you can figure out the slope between any two ordered pairs (x1, y1) and (x2, y2). • Slope= rise= y2-y1 run x2-x1

  6. Example • Here’s how you would use the slope equation to find slope between the ordered pairs (-3, -2) and (1, 6): • Step 1: The first ordered pair is your (x1, y1), so: (x1, y1)= (-3, -2) x1= -3 y1= -2

  7. Step 2: • The second ordered pair is your (x2, y2), so: (x2, y2)= (1,6) x2= 1 y2=6

  8. Step 3: • Plug the values where they go into the slope equation, and solve: Slope= y2-y1= 6-(-2)= 6+2 = 8 x2-x1 1-(-3) 1+3 4 =2

  9. Slope cont. • BIG NOTE: If you are asked to figure out the slope of a line, • Pick any two points on the line and • plug their coordinates into the slope formula.

  10. Example: Given this graph: Find the slope

  11. Step 1: • Pick any two points. We’ll select (-2, -3) The ordered pair of any first point is your (x1, y1)

  12. Step 2 • The second ordered pair is your (x2, y2): We’ll select (4,0)

  13. Step 3: • Plug the values into the slope equation: Slope= y2-y1 x2-x1 Finish the problem and box your answer

  14. Answer: • 1/2

  15. Finding Rise or Run • Sometimes you will be asked to work backwards. You will be provided the slope, and you must find the rise or the run.

  16. Example • The slope of the line is 3/4. • The run is 8 What is the value of x (rise)? Slope= rise/run 3= x • 8 Solve for x by cross multiplying

  17. Answer: • Rise= 6

  18. Independent Practice 3.3 Find the slope of a line that passes through the points • (3,1) and (1,4) • (3,5) and (4,7) • (-2,4) and (4,2) • (6,2) and (8,0) • (-2,-2) and (1,4) • (-5,3) and (7,-6) • (-3,2) and (1,4) • Toni drew a graph of her hike on a coordinate plane. She passed 2 points on her way up. One was (-2,-2) and the other was (3,2). What is the slope of the hill? • Bill drew a graph of his ski run on a coordinate plane. On the way down he passed two trees. One tree was at point (4,-1) and the other was at point (-3,2). What is the slope of the hill?

More Related