Graph Using SlopeIntercept Form

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Graph Using Slope-Intercept Form
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EQs

• How do we graph and translate basic functions?
• How do certain characteristics of functions
  relate to their graphs?
• GPS MM1A1-b,c
• MM1A1-d,e

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Vocabulary

• Slope-intercept Form- A liner equation written in
  the form y mx b where m is the slope and b is
  the y-intercept of the equations graph.
• Parallel- Two lines in the same plane that do not
  intersect.
• Perpendicular- Two lines that intersect to form a
  right angle.

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Example 1Identify the slope and y-intercept

• Identify the slope and y-intercept of the line
  with the given equation.
• y 1/4x - 2
• -2x 3y 9

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Guided Practice for Example 1

• y -3x 7
• y 4x - 10
• y -x
• y 1/3x 4
• y -0.8x - 2.1

• y 5 - 7x
• 15x - 5y 10
• x - 6y 18
• 2x - 9y 6

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Example 2Graph an equation using
slope-intercept form

• Graph the equation y 4x 3

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Example 2- Solution
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Guided Practice for Example 2

• Graph the equation.
• y 3/4x - 1
• y -x

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Parallel / Perpendicular Lines

• Parallel Lines have the SAME
• SLOPE!
• To compare slopes, but both equations in ymxb,
  and check if slopes are the SAME!

• Perpendicular lines have slopes that are negative
  reciprocals of each other!
• To compare slopes, but both in ymxb, and check
  to see if the slopes are flipped and negated!

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Example 3Identify parallel and perpendicular
lines

• Determine which of the lines are parallel or
  perpendicular
• line a through (-4,1) and (-6,7)
• line b through (-7,-5) and (1,11)
• line c through (2,5) and (4,9)
• line d through (4,3) and (10,5)
• HINT find slope of each line using slope formula!

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Guided Practice for Example 3

• Determine which of the lines are parallel or
  perpendicular
• line a through (5,3) and (8,5)
• line b through (-2,9) and (1,11)
• line c through (12,8) and (8,2)
• line d through (4,6) and (7,4)

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Joke of the Day

• What did the tree say to the mountain?

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Answer

• Stop peaking at me!