Aim #40.1: How do we write the equation of a line?

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


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Mini Lesson - Equation of a line

Standard form __________________

m =

b =


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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

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23

013

7) m = no slope b = none 8) m = 5 b = 1


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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

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54

no slope


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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


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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


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Exit Slip

Directions: get the following equations into standard form and identify m & b.

2x = 5y 15 3(y 2x) = 6


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B) Identify the slope and y-intercept

4x - 6y = 18

A) Copy down tonight's homeworkhw 40.2


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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)


Mini Lesson


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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



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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


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e) m = 1; (-6, 3) f) m = -3; (-2, -1)

g) m = -2; (-5, -3) h) m = 4; (3, 5)

Practice


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i) m = 7; (1, 2) j) m = -1; (3, -1)

Exit Slip write the equation of the line


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B) Graph using the x and y-intercept

4x - 6y = 18



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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


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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


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o) m = 3; (2, 3) p) m = -4; (1, 8)

q) m = 3; (-4, 7) r) m = 2; (-3, 4)

Partner Practice


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B) Graph using a table

4x - 6y = 18



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Mini Lesson - Slope formula

Slope: Slope:

To find slope using a graph you find the

This is also known as


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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!


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Special Cases

Find the slope between the following points

(1, 6) & (1, 2)1. 2. (4, 6) & (2, 6)


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Check for Understanding

Find the slope between the following points

(1, 6) & (2, 2)1. 2. (4, 6) & (4, 10)


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Pratice - Slope formula

Also known as the


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B) Find the slope: (-8, -6) and (8, -6)

A) Write down tonight's homeworkWorksheet - finish aim 40.5


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Mini Lesson Write the equation of the line given two points


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Check for UnderstandingWrite the equation of the line given two points


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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


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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


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Exit SlipWrite the equation of the line given two points


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B) Find the slope: (-8, -6) and (8, -6)

A) Write down tonight's homeworkWorksheet - finish aim 40.6


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Check List write a line given two points


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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


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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


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Aim #40.1: How do we write the equation of a line?

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