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GRAPHING!
Consider the following

          y=x

What happens to y as x increases?



  by how much?
OK, consider this

         y = 2x

What happens to y as x increases?



  by how much?
How about this?

         y = 5x

What happens to y as x increases?



  by how much?
from back of the class

Marc: this is algebra, what does
  this have to do with graphing??

Jerome: I don't know

Ken: I like cheese
Describe this line
Describe this line
Describe this line
Jerissa: where is he going
      with this?

Tricia: huh?

Chastity: Khoa you stink!
lets go back and look at the equations

               y=x

here are some values of y at different
values of x


  x   1   2   3   0   -1   -2   -3

  y   1   2   3   0   -1   -2   -3
lets go back and look at the equations

               y = 2x

here are some values of y at different
values of x

  x   1   2   3   0     -1   -2   -3

  y   2   4   6   0     -2   -4   -6
lets go back and look at the equations

               y = 5x

here are some values of y at different
values of x

  x   1   2   3   0     -1   -2   -3

  y   5   10 15 0       -5   -10 -15
Cedric: I think I see where he is
going here, I think I could graph
those values!

Phong: ZZZZZZZZZ
y=x

x   1   2   3   0   -1   -2   -3
y   1   2   3   0   -1   -2   -3
y = 2x

x   1   2   3   0    -1   -2   -3
y   2   4   6   0    -2   -4   -6
y = 5x

x   1   2   3   0    -1   -2   -3

y   5   10 30 0      -5   -10 -30
y=    x


So what happens to the line when this
number gets bigger?


What happens when it gets smaller?
Let's use a letter to represent this value.
Let's us m.

        y = mx

Let's give m a name, we can call it SLOPE
What happens to a line as m gets
smaller?




What if it was so small it was
negative?!
Graph y = -1x

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March 1 Graphing And Slope

  • 2. Consider the following y=x What happens to y as x increases? by how much?
  • 3. OK, consider this y = 2x What happens to y as x increases? by how much?
  • 4. How about this? y = 5x What happens to y as x increases? by how much?
  • 5. from back of the class Marc: this is algebra, what does this have to do with graphing?? Jerome: I don't know Ken: I like cheese
  • 9. Jerissa: where is he going with this? Tricia: huh? Chastity: Khoa you stink!
  • 10. lets go back and look at the equations y=x here are some values of y at different values of x x 1 2 3 0 -1 -2 -3 y 1 2 3 0 -1 -2 -3
  • 11. lets go back and look at the equations y = 2x here are some values of y at different values of x x 1 2 3 0 -1 -2 -3 y 2 4 6 0 -2 -4 -6
  • 12. lets go back and look at the equations y = 5x here are some values of y at different values of x x 1 2 3 0 -1 -2 -3 y 5 10 15 0 -5 -10 -15
  • 13. Cedric: I think I see where he is going here, I think I could graph those values! Phong: ZZZZZZZZZ
  • 14. y=x x 1 2 3 0 -1 -2 -3 y 1 2 3 0 -1 -2 -3
  • 15. y = 2x x 1 2 3 0 -1 -2 -3 y 2 4 6 0 -2 -4 -6
  • 16. y = 5x x 1 2 3 0 -1 -2 -3 y 5 10 30 0 -5 -10 -30
  • 17. y= x So what happens to the line when this number gets bigger? What happens when it gets smaller?
  • 18. Let's use a letter to represent this value. Let's us m. y = mx Let's give m a name, we can call it SLOPE
  • 19. What happens to a line as m gets smaller? What if it was so small it was negative?!
  • 20. Graph y = -1x