< Return to Video

Graphing proportional relationships example 2

  • 0:01 - 0:04
    We're asked to graph the proportional relationship shown in the table below.
  • 0:04 - 0:08
    And they give us a table of x values and the corresponding y values.
  • 0:08 - 0:12
    So we see when x is equal to 0, y is equal to 0.
  • 0:12 - 0:13
    Then they give us a bunch of other points.
  • 0:13 - 0:16
    When x is 3, y is 0.5.
  • 0:16 - 0:19
    When x is 6, y is 1.
  • 0:19 - 0:20
    So on and so forth.
  • 0:20 - 0:24
    So let's graph one of these that actually have integer values for both coordinates.
  • 0:24 - 0:30
    So when x is 6, y is 1.
  • 0:30 - 0:32
    So we only need 2 points to specify the line.
  • 0:32 - 0:33
    So we've actually graphed it.
  • 0:33 - 0:36
    But then they also ask us, "What is the slope of this line?"
  • 0:36 - 0:38
    And we just have to remind ourselves:
  • 0:38 - 0:43
    Our slope is our change in y for a given change in x.
  • 0:43 - 0:45
    So, for example – Or another way to think about it:
  • 0:45 - 0:48
    What is your change in y over your change in x?
  • 0:48 - 0:51
    So here, our x changed by 6.
  • 0:51 - 0:53
    It went from 0 to 6.
  • 0:53 - 0:55
    And our y changed by 1.
  • 0:55 - 0:58
    So our change in y over our change in x,
  • 0:58 - 0:59
    (which is the definition of slope),
  • 0:59 - 1:04
    our change in y is 1 when our change in x is 6.
  • 1:04 - 1:05
    We see that right over here.
  • 1:05 - 1:08
    Our change in y is 1 when our change in x is 6.
  • 1:08 - 1:09
    Let's check our answer.
  • 1:09 - 1:11
    We got it right.
Title:
Graphing proportional relationships example 2
Video Language:
English
Duration:
01:12

Metadata: Geo subtitles

Revisions