A f 3 1 graph functions a f 3 3 slope
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A.F 3.1- Graph Functions A.F 3.3- Slope PowerPoint PPT Presentation


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A.F 3.1- Graph Functions A.F 3.3- Slope. Per 3, 5: 11/22/10 Per 2, 4,6: 11/23/10. AF 3.1- Graph Functions. On the CAHSEE, you will be given a graph and must select the equation that best matches that graph. Graph Equations. y= x straight line (pointing right)

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

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A f 3 1 graph functions a f 3 3 slope

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

Per 3, 5: 11/22/10

Per 2, 4,6: 11/23/10


Af 3 1 graph functions

AF 3.1- Graph Functions

  • On the CAHSEE, you will be given a graph and must select the equation that best matches that graph


Graph equations

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)


Af 3 3 slope

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.


Slope equation

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

    runx2-x1


Example

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


Step 2

Step 2:

  • The second ordered pair is your (x2, y2), so:

    (x2, y2)= (1,6)

    x2= 1

    y2=6


Step 3

Step 3:

  • Plug the values where they go into the slope equation, and solve:

    Slope= y2-y1= 6-(-2)= 6+2 = 8

    x2-x11-(-3) 1+3 4


Answer

Answer:

  • 2


Slope cont

Slope cont.

  • BIG NOTE: If you are asked to figure out the slope of a line, all you need to do is pick any two points on the line and plug their coordinates into the slope formula.


Example1

Example:

Given this graph: Find the slope


Step 1

Step 1:

  • Pick any two points. We’ll select (-2, -3)

    The ordered pair of any first point is your (x1, y1)


Step 21

Step 2

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


Step 31

Step 3:

  • Plug the values into the slope equation:

    Slope= y2-y1

    x2-x1

    Finish the problem and box your answer


Answer1

Answer:

  • 1/2


Finding rise or run

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.


Example2

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


Answer2

Answer:

  • Rise= 6


Independent practice 3 3 part 2

Independent Practice 3.3Part 2

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?


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