1. Unit 4. Day 4.

2. Please get out paper for today’s lesson
Name
Date
Period
Topic: Continue Slope … meet intercepts
Understand the connections between proportional relationships, lines, and linear equations.

3. Today’s Lesson
1) Review Graphing & Slope
2) Choosing “wise” 𝑥−𝑣𝑎𝑙𝑢𝑒𝑠
3) Intercepts

4. Graph & find the slope
Example A:
𝑦=−2𝑥+3
Example B:
2𝑦−3𝑥=10

5. Example A: 𝑦=−2𝑥+3 𝑟𝑖𝑠𝑒 −4 𝑚= 𝑟𝑢𝑛 2 𝑚=−2 𝑦 𝑥 𝑦=−2 +3 𝑦=−2 +3 𝑦=−2 +3
𝑦=−
𝑦=−
𝑦=− 𝑚=
𝑟𝑢𝑛 2 𝑦= +3 𝑦= +6 +3 𝑦= −4 +3
𝑦=3 3
𝑦=−1 −1
𝑚=−2
𝑦=9 9 𝑥 𝑥 𝑦 −3 −3 2 2

6. Example B 2𝑦 2𝑦−3𝑥=10 2𝑦−3𝑥=10 = 10 +3𝑥 +3𝑥 +3𝑥 𝑟𝑖𝑠𝑒 3 𝑦 𝑚= + 𝑟𝑢𝑛 2 =𝑦=
+3𝑥
+3𝑥
+3𝑥
𝑟𝑖𝑠𝑒 3 𝑦= −3 +5 𝑦 𝑚= +
𝑟𝑢𝑛 2 = 2
𝑦=2 2 2
𝑚= 3 2 𝑦=
3 2 𝑥
+ 5 𝑦= +5 𝑥
𝑦=5 5 𝑥 𝑦 𝑦= −2 −2 𝑦= 3 +5 2 2
𝑦=8 8

8. Today’s Lesson
1) Review Graphing & Slope
2) Choosing “wise” 𝑥−𝑣𝑎𝑙𝑢𝑒𝑠
3) Intercepts

9. 𝑊𝑖𝑠𝑒𝑙𝑦 𝑐ℎ𝑜𝑜𝑠𝑖𝑛𝑔 𝑥−𝑣𝑎𝑙𝑢𝑒𝑠
𝑦= 1 2 𝑥−3
𝑦=4𝑥−3
𝑦= −3
𝑦= −3 1
−12 16 8
𝑦= −3
− 3 2 1
𝑦= −3 −1 𝑦 𝑦 𝑥 𝑥 −3 −2 −2 −3 −3 −3 2 2 4 4 2 2

10. 𝑊𝑖𝑠𝑒𝑙𝑦 𝑐ℎ𝑜𝑜𝑠𝑖𝑛𝑔 𝑥−𝑣𝑎𝑙𝑢𝑒𝑠
𝑦= 6 7 𝑥+2
𝑦=7𝑥+2 𝑦 𝑥 𝑦 𝑥 −7 −2 −1 3 7

12. Today’s Lesson
1) Review Graphing & Slope
2) Choosing “wise” 𝑥−𝑣𝑎𝑙𝑢𝑒𝑠
3) Intercepts

13. Example C: 𝑦=2𝑥+6 𝑟𝑖𝑠𝑒 6 𝑚= =2 𝑟𝑢𝑛 3 𝑥 𝑦 𝑦=2 +6 𝑦=2 +6 𝑦= +6 𝑦= −6 + 6
𝑥−𝑖𝑛𝑡: , −3 𝑦= 𝑦=
𝑦−𝑖𝑛𝑡: , 6 𝑦= +6 𝑦= −6
+ 6
𝑦=6 6 𝑥
𝑦=0 𝑥 𝑦 −3 −3 𝑦= 𝑦= 4 +6 2 2
𝑦=10 10

14. Graph, find the slope, & find intercepts
Example D:
𝑦=4𝑥−8
Example E:
𝑦=−3𝑥+3
𝑦= 2 3 𝑥+6
Example F:
𝑦=− 1 4 𝑥+2
Example G:

15. Example D*: 𝑦=4𝑥−8 𝑟𝑖𝑠𝑒 8 𝑚= =4 𝑟𝑢𝑛 2 𝑥 𝑦 𝑦=4 −8 𝑦= 4 − 8 𝑦=−4 −4
𝑦= −8 𝑦= 4
− 8
𝑟𝑖𝑠𝑒 8 𝑚= =4
𝑟𝑢𝑛 2
𝑦=−4 −4
𝑥−𝑖𝑛𝑡: , 2
𝑦= −8
𝑦= −8
𝑦−𝑖𝑛𝑡: , −8 𝑦=
− 8 𝑦=
−12
− 8
𝑦=−8 −8 𝑥
−20 𝑥 𝑦
𝑦=−20 −3 −3
𝑦= −8 𝑦= 8
− 8 2 2
𝑦=0 1 1

16. Example E*: 𝑦=−3𝑥+3 𝑟𝑖𝑠𝑒 −3 𝑚= =−3 𝑟𝑢𝑛 1 𝑥 𝑦 𝑦=−3 +3 𝑦= 3 + 3 𝑦=6 6
𝑦=−
𝑟𝑖𝑠𝑒 −3 𝑦= 3
+ 3 𝑚=
=−3
𝑟𝑢𝑛 1
𝑦=6 6
𝑥−𝑖𝑛𝑡: , 1
𝑦=−
𝑦=−
𝑦−𝑖𝑛𝑡: , 3 𝑦=
+ 3 𝑦= 9
+ 3
𝑦=3 3 𝑥
𝑦=12 12 𝑥 𝑦 −3 −3
𝑦=− 𝑦= −6
+ 3 2 2
𝑦=−3 −3 −1 −1

17. Example F: 𝑦= 2 3 𝑥+6 𝑟𝑖𝑠𝑒 2 𝑚= =2 𝑟𝑢𝑛 3 𝑥 𝑦 𝑦= +6 𝑦= −2 + 6 𝑦=6 6 𝑦=4𝑦= 𝑦=
𝑥−𝑖𝑛𝑡: , −9
𝑦−𝑖𝑛𝑡: , 6 𝑦= +6 𝑦= −2
+ 6
𝑦=6 6 𝑥
𝑦=4 4 𝑥 𝑦 𝑦= −3 −3 𝑦= 2 +6 3 3
𝑦=8 8

18. Example G*: 𝑦=− 1 4 𝑥+2 −2 =− 1 4 𝑟𝑖𝑠𝑒 𝑚= 𝑟𝑢𝑛 8 𝑥 𝑦 𝑦= + 2 𝑦= 1 + 2
𝑦=−
𝑦=−
𝑥−𝑖𝑛𝑡: , 8
𝑦−𝑖𝑛𝑡: , 2 𝑦=
+ 2 𝑦= 1
+ 2
𝑦=2 2 𝑥
𝑦=3 3 𝑥 𝑦
𝑦=− −4 −4 𝑦= −1
+ 2 4 4
𝑦=1 1

19. Graph, find slope/intercepts 𝑦=2𝑥−8 𝑦= 3 4 𝑥−5
2𝑦+8𝑥=14
3𝑦+2𝑥=15
𝑦=2𝑥−4
𝑦= 1 2 𝑥+3
2𝑦−4𝑥=8
Madonna of the Meadow (1506)