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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

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

run x2-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-x1 1-(-3) 1+3 4

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

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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