1. Unit 4 Lesson 5 Day 2 Writing Linear Equations in Slope-Intercept Form
Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. This will be evidenced by successful completion of the group task that will include the correct given five steps.
Common Core Standards: A-CED.2, F-BF.2, F-LE.2

2. Hand in Castle Learning w/all work shown. Tonight's HW – None
Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. This will be evidenced by successful completion of the group task that will include the correct given five steps. Do Now
Do Now: Green Packet p.28 #4
Hand in Castle Learning w/all work shown.
Tonight's HW – None

3. Steps to Writing Equations in Slope-Intercept Form
Step 1: Take two points and find the slope (m)
Step 2: Pick one of the given coordinates (x, y)
Step 3: Substitute the slope (m), x, and y into
y = mx + b
Step 4: Solve for the y-intercept (b)
Step 5: Substitute the slope (m) and the
y-intercept (b) into y = mx + b

4. x y x y ∆𝑦 ∆𝑥 = ∆𝑑 ∆ℎ = 9−14 4−8 = 5 4 inches (4, 9) (8, 14) hour
Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. This will be evidenced by successful completion of the group task that will include the correct given five steps. Do Now – Green Packet p.28 # 4 x y x y
∆𝑦 ∆𝑥 =
∆𝑑 ∆ℎ =
9−14 4−8 =
5 4
inches
(4, 9)
(8, 14)
hour
1.25 inches per hour

5. 5 4 1) x y 2) (4, 9) 3) 4) 5) Slope (m) = Pick Point:
Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. This will be evidenced by successful completion of the group task that will include the correct given five steps. Do Now – Green Packet p.28 # 4
5 4 1)
Slope (m) =
x y 2)
Pick Point:
(4, 9) 3)
Substitute: y =mx + b
5 4 ( )
9 = 4 +b 4)
Solve:
9 = 5 + b
When the snowfall began the depth was 4 inches.
4 = b 5)
Write
Equation:
After 12 hours the depth was 19 inches.
y =
5 4 x
+ 4
d =
5 4 h
+ 4

6. (0, 0) (2, 1) 1) m ∆𝑦 ∆𝑥 = 𝑦−𝑦 𝑥−𝑥 = 0−1 0−2 = 1 2 x y 2) (0, 0) 3) 4)
Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. This will be evidenced by successful completion of the group task that will include the correct given five steps. Guided Practice - Yellow Packet p.19 #1
x y
x y
(0, 0)
(2, 1) 1)
Slope (m) = m
∆𝑦 ∆𝑥 =
𝑦−𝑦 𝑥−𝑥 =
0−1 0−2 =
1 2
x y 2)
Pick Point:
(0, 0) 3)
Substitute: y =mx + b
1 2 ( )
0 = +b 4)
Solve:
0 = 0 + b
0 = b 5)
Write
Equation:
1 2 x
y =

7. (-4, 1) (-2, -1) 1) m ∆𝑦 ∆𝑥 = 𝑦−𝑦 𝑥−𝑥 = 1−−1 −4−−2 = -1 x y 2) (-4, 1)
Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. Independent Task –Yellow Packet p.19 #2
x y
x y
(-4, 1)
(-2, -1) 1)
Slope (m) = m
∆𝑦 ∆𝑥 =
𝑦−𝑦 𝑥−𝑥 =
1−−1 −4−−2 = -1
x y 2)
Pick Point:
(-4, 1) 3)
Substitute: y =mx + b
1 =
−1 ( ) -4 +b 4)
Solve:
1 = 4 + b
-3 = b 5)
Write Equation:
y =
-1x
– 3

8. (-1, 2) (1, -1) 1) m ∆𝑦 ∆𝑥 = 𝑦−𝑦 𝑥−𝑥 = 2−−1 −1−1 = −3 2 x y 2) (-1, 2)
Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. Guided Practice – Yellow p.20 #5
x y
x y
(-1, 2)
(1, -1) 1)
Slope (m) = m
∆𝑦 ∆𝑥 =
𝑦−𝑦 𝑥−𝑥 =
2−−1 −1−1 =
−3 2
x y 2)
Pick Point:
(-1, 2) 3)
Substitute: y =mx + b
−3 2 ( )
2 = -1 +b
2 = b
− − 3 2
1 2 = b 5)
Write Equation:
y =
−3 2 x
+ 1 2

9. Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. Independent Task –Yellow Packet p.19 #3

10. Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. Guided Practice – Yellow Packet p.19 #4

11. Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. Independent Task – Yellow p.20 #6

12. Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. Challenge – p.26 #4

13. Learning Objective: During the period SWBAT apply the given steps to write a linear equation in slope-intercept form given the graph or two points the line passes through. This will be evidenced by successful completion of the group task that will include the correct given five steps. Exit Ticket

14. Closure How can you determine the slope algebraically given a graph?
Homework: None

15. Concepts – Green Packet p.26 #3a,b,c,d & p.23 #6

16. Concepts – Green Packet p.26 #3a,b,c,d & p.23 #6