Unit 3, Lesson 11
Line Designs
Grade 8
11.1
Warm-up
Comparing Lines
What is the same about the two lines? What is different about the two lines?
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Your teacher will give you either a design or a blank graph. Do not show your card to your partner.
If your teacher gives you the design:
If your teacher gives you the blank graph:
When finished, place the drawing next to the card with the design so that you and your partner can both see them. How is the drawing the same as the design? How is it different? Discuss any miscommunication that might have caused the drawing to look different from the design.
Pause here so your teacher can review your work. When your teacher gives you a new set of cards, switch roles for the second problem.
In order to draw a specific line, knowing one point that the line passes through is not enough information. We would know where to draw the line, but it could have any slope.
For example, these lines all go through the point
If we knew only the slope of a line, we would know how to draw it but the line could be located anywhere. For example, these lines all have a slope of
To know the exact location of a line, we need either both the slope and the coordinates of one point on the line, or the locations of at least 2 points that are on the line. For example, this line goes through the point
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