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Algebra 1 Notes 4.3.notebook
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November 17, 2017
Before we...
Wrote equations using the Point-Slope Formula
Today we will...
Write equations for and
lines.
Why?
4.3 Parallel and Perpendicular Lines
Summary...
Assign: Pg.191 3,5,7,9,10,14,16,18,19,20,23,25
Algebra 1 Notes 4.3.notebook
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November 17, 2017
Determine which of the lines are parallel.
a: m =
b: m =
c: m =
Algebra 1 Notes 4.3.notebook
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November 17, 2017
Algebra 1 Notes 4.3.notebook
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November 17, 2017
1. Line a passes through ﴾−5, 3﴿ and ﴾−6, −1﴿. Line b passes through
﴾3, −2﴿ and ﴾2, −7﴿. Are the lines parallel?
Algebra 1 Notes 4.3.notebook
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November 17, 2017
Now that you can tell if two given lines are parallel...
We're going to write some equations for parallel lines.
What do we need?
Algebra 1 Notes 4.3.notebook
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November 17, 2017
2. Write an equation of the line that passes through ﴾−4, 2﴿ and is
parallel to the line y = 3x + 1 .
Algebra 1 Notes 4.3.notebook
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November 17, 2017
Write an equation of the line that passes through ﴾5, −4﴿ and is parallel to the line y = 2x + 3. y=2x+3
Algebra 1 Notes 4.3.notebook
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November 17, 2017
Algebra 1 Notes 4.3.notebook
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Perpendicular SlopesSlope
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Write an equation of the line that passes through ﴾ −3, 1﴿ and is
perpendicular to the line . y=½x+3
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November 17, 2017
To determine whether lines are parallel or perpendicular to each other....
Compare Slopes!
Algebra 1 Notes 4.3.notebook
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November 17, 2017
Determine which of the lines, if any, are parallel or perpendicular.
Line a: y = 4x + 2 Line b: x + 4y = 3 Line c: −8y − 2x = 16
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November 17, 2017
3. Determine which of the lines, if any, are parallel or perpendicular. Explain.
Line a: 2x + 6y = − 3 Line b: y = 3x − 8 Line c: −6y + 18x = 9
4. Write an equation of the line that passes through ﴾ −3, 5﴿ and is perpendicular to the line y = − 3x − 1.
Algebra 1 Notes 4.3.notebook
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November 17, 2017
The position of a helicopter search and rescue crew is shown in the graph. The shortest flight path to the shoreline is one that is perpendicular to the shoreline. Write an equation that represents this path.
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November 17, 2017
5. In Example 5, a boat is traveling parallel to the shoreline and passes through ﴾9, 3﴿. Write an equation that represents the path of the boat.
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4.1 #1
4.2 # 2-5 ⇒Write in slope-intercept form
4.3 #7,8,9
Pg.226
Quiz Review
https://static.bigideasmath.com/protected/content/dc_cc_hs/apt/apt.html
Answers:
Algebra 1 Notes 4.3.notebook
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November 17, 2017
You are renting a paddle board. The company charges a one-time fee of $50 and then $20 per half-day.
a. Write an equation that represents the total cost of renting a paddle board.
b. How much does it cost to rent the paddle board for 7 half-days?
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x 1 2 3 4
y -3 0 3 6