Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27,...

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Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Slope Point Form of the Equation of a Linear Function where the line passes through P(x 1 ,y 1 ) and has a slope of m Ex(1) State the slope of the line and a point on the line Ex(2) Write the equation of the linear function that has a slope of and passes through the point (3, 7) Slope = m 3 (1, 2) (6, 2) (3, 1) y 3= 2(x 8) y + 3 = 4 (x + 9)

Transcript of Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27,...

Page 1: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Slope Point Form of the Equation of a Linear Function

where the line passes through P(x1, y1) and has a slope of m

Ex(1) State the slope of the line and a point on the line

Ex(2) Write the equation of the linear function that has a 

slope of         and passes through the point (­3, 7)

Slope = m

­ 3 (1, 2)

(6, ­2)

(­3, 1)

y ­ 3= 2(x ­ 8)

y + 3 = ­4 (x + 9)

Page 2: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Page 3: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Ex(3) (a)   Graph the line with the equation

(b)   Rewrite the equation in slope intercept form and state the y­intercept.

Page 4: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Ex(4) Graph the line with the equation

Page 5: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Ex(5) Graph the line with the equation

Page 6: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Page 7: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Exercises:   Page 372 # 4, 5, 7

Page 8: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

In the equation y ­ 4 = 3(x ­ 2), the slope and point of intersection are...

1  

A m = 3 

B m = ­3 

C (2, 4) 

D (­2, ­4)

Page 9: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

2   Write the equation for the line that passes through (­1, 5) and has a slope of ­4.

A y + 5 = ­4(x ­ 1) 

B y ­ 5 = ­4(x + 1) 

C y + 5 = 4(x ­ 1) 

D y ­ 5 = 4(x + 1) 

Page 10: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

3  Which graph matches the equation y ­ 1 = 1/2(x ­ 2)?

A   B  

Page 11: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Ex(4)(a) Write the equation of this line in slope­point form.

(b) Re­write the equation from part (a) into slope­intercept form.

Exercises: Page 372 ­ 374   # 4 ­ 6, 9(a,b)  # 11(a,b), 12, 14

Page 12: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Page 13: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Write the equation of these lines in slope­point form.

1.   ( 3, 4),  (­ 5, 1)

2.    (­2, 1),  (3, 2)

Worksheet #  7­ 12

Page 14: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Page 15: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Section 6.5 ­ Re­writing Equations from Slope point Form to slope y­intercept Form

Exercises:  Point Slope Form Student 

Practice Worksheet  # 1 ­ 8

Page 16: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Page 17: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Page 18: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Page 19: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Ex(5) Write an equation of a line that would be parallel to each of the following linear functions.

Ex(6) Write an equation of a line that would be perpendicular to each of the following linear functions.

Page 20: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Ex(7) Write an equation of the line parallel to   y = 2x +1   and that goes through the point ( ­2, 1). 

Page 21: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Ex(8) Write an equation, in standard form, of the line 

perpendicular to                              and that passes through ( 1, 3).

Exercises: Page 372 ­ 374   # 20, 22

Page 22: Notes Day 2 - 6.5 Slope Point Form.notebook · Notes Day 2 6.5 Slope Point Form.notebook March 27, 2017 Ex(5) Write an equation of a line that would be parallel to each of the following

Notes Day 2 ­ 6.5 Slope Point Form.notebook March 27, 2017

Linear Functions

Slope-InterceptForm

y = mx +b

Slope-Point Form

y- y1 = m(x -x1)

Must know the slope (m) and

y-intercept (b)

Must know * two pts or

* one pt and the slope