5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Aim #40.1: How do we write the equation of a line?
B) Identify the slope and y-intercept
4x = 3y - 12
A) Copy down tonight's homeworknone
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Mini Lesson - Equation of a line
Standard form __________________
m =
b =
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Practice - write the equation of the line given the slope and y-intercept
1) m = 3 b = 6 2) m = b = 4
3) m = 5 b = 0 4) m = b = 4
5) m = b = 8 6) m = b = 1
35
23
013
7) m = no slope b = none 8) m = 5 b = 1
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Check for Understanding - write the equation of the line given the slope and
y-intercept
1) m = 4 b = 2 2) m = b = 0
3) m = 0 b = 3 4) m = b = 4
5) m = b = none 6) m = 7 b = 9
23
54
no slope
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Practice - identify the m and b
1) y = 3x 7 2) y = 1/3x 4
3) y = 5 4) y = 7x + 2
5) x = 2 6) y = 3/4x
7) y = 3 8) y = 4 5/4x
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Check for Understanding - identify the m and b
1) y = 5x 2) y = 2/3x 4
3) x = 5 4) y = 4x 2
5) y = 2 6) y = 1/4x 6
7) x = 3 8) y = 8 2/3x
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Exit Slip
Directions: get the following equations into standard form and identify m & b.
2x = 5y 15 3(y 2x) = 6
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Aim #40.2: How do we write the equation of a line?
B) Identify the slope and y-intercept
4x - 6y = 18
A) Copy down tonight's homeworkhw 40.2
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
1) Write the equation of a line given the slope and a point.
a) m = 2; (4, 1) b) m = -3; (0, -7)
Step 1: Write the equation by plugging in the slopeStep 2: Substitute the x & y with the coordinate pointStep 3: now solve for b Step 4: write the equation with the m and b
c) m = 4; (1, -3) d) m = -½; (4, 6)
Step 1: Write the equation by plugging in the slopeStep 2: Substitute the x & y with the coordinate pointStep 3: now solve for b Step 4: write the equation with the m and b
Mini Lesson
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
e) m = ¼; (0, 1) f) m = -1; (7, -8)
g) m = -6; (-3, 2) h) m = -5; (2, 4)
Mini Lesson
Check for Understanding
Step 1: Write the equation by plugging in the slopeStep 2: Substitute the x & y with the coordinate pointStep 3: now solve for b Step 4: write the equation with the m and b
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
2) Write the equation of a line given its slope and a point that lies on the line. Show all work.
a) m = 4; (3, 5) b) m = -2; (2, 5)
c) m = ¼; (-8, -6) d) m = 2; (0, 4)
Practice
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
e) m = 1; (-6, 3) f) m = -3; (-2, -1)
g) m = -2; (-5, -3) h) m = 4; (3, 5)
Practice
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
i) m = 7; (1, 2) j) m = -1; (3, -1)
Exit Slip write the equation of the line
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Aim #40.3: How do we write the equation of a line?
B) Graph using the x and y-intercept
4x - 6y = 18
A) Copy down tonight's homeworkhw 40.3
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
1) Write the equation of a line given the slope and a point.
a) m = 2; (3, 1) b) m = -3; (-4, -7)
Step 1: Write the equation with just the slopeStep 2: Substitute the x & y with the coordinate pointStep 3: solve for b Step 4: write the equation with the m and b
Review
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
k) m = -4; (-2, 5) l) m = -½; (4, 10)
m) m = -1; (2, -4) n) m = 2; (-1, 2)
Partner Practice
Write the equation of the line
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
o) m = 3; (2, 3) p) m = -4; (1, 8)
q) m = 3; (-4, 7) r) m = 2; (-3, 4)
Partner Practice
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Aim #40.4: How do we write the equation of a line?
B) Graph using a table
4x - 6y = 18
A) Copy down tonight's homeworkhw 40.4
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Mini Lesson - Slope formula
Slope: Slope:
To find slope using a graph you find the
This is also known as
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Slope formula Scaffold
=
Ex. #1)
(2) (4)(2) (5)
x, y x, y
=27
Ex. #2)
=(9) (3)(3) (5)
=68
x, y x, y
=34
=( ) ( )( ) ( )
=
Use this to help you find slope!!!!
=
=
What are your two points? ( , ) and ( , ) Plug them in!
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Special Cases
Find the slope between the following points
(1, 6) & (1, 2)1. 2. (4, 6) & (2, 6)
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Check for Understanding
Find the slope between the following points
(1, 6) & (2, 2)1. 2. (4, 6) & (4, 10)
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Pratice - Slope formula
Also known as the
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Aim #40.5: How do we write the equation of a line?
B) Find the slope: (-8, -6) and (8, -6)
A) Write down tonight's homeworkWorksheet - finish aim 40.5
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Mini Lesson Write the equation of the line given two points
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Check for UnderstandingWrite the equation of the line given two points
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Write the equation of the line passing through the given points. Show all work!
a) (-2, 6) and (4, 3) b) (2, 2) and (-1, 8)
c) (-1, -1) and (4, 9) d) (0, -4) and (3, 8)
Practice
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
e) (9, -3) and (0, 4) f) (4, 3) and (0, -3)
g) (5, -5) and (-5, 5) h) (-3, 1) and (6, 4)
Practice
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Exit SlipWrite the equation of the line given two points
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Aim #40.6: How do we write the equation of a line?
B) Find the slope: (-8, -6) and (8, -6)
A) Write down tonight's homeworkWorksheet - finish aim 40.6
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
Check List write a line given two points
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
i) (-4, -3) and (-3, -8) j) (9, 0) and (7, 2)
k) (8, -1) and (9, -1) l) (0, 4) and (-1, -1)
Partner Practice
5.8.18 Aim 40 Writing Equations of Lines.notebook
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May 08, 2018
m) (1, 3) and (-2, -6) n) (6, 1) and (-4, -4)
o) (4, 0) and (2, -2) p) (7, 4) and (1, 1)
Partner Practice