Unit 4. Day 4.

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.

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

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

Example A: 𝑦=−2𝑥+3 𝑟𝑖𝑠𝑒 −4 𝑚= 𝑟𝑢𝑛 2 𝑚=−2 𝑦 𝑥 𝑦=−2 +3 𝑦=−2 +3 𝑦=−2 +3 𝑦=−2 +3 𝑦=−2 +3 𝑦=−2 +3 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

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

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

𝑊𝑖𝑠𝑒𝑙𝑦 𝑐ℎ𝑜𝑜𝑠𝑖𝑛𝑔 𝑥−𝑣𝑎𝑙𝑢𝑒𝑠 𝑦= 1 2 𝑥−3 𝑦=4𝑥−3 𝑦=4 −3 𝑦= 1 2 −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

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

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

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=2 +6 𝑦=2 +6 𝑦−𝑖𝑛𝑡: , 6 𝑦= +6 𝑦= −6 + 6 𝑦=6 6 𝑥 𝑦=0 𝑥 𝑦 −3 −3 𝑦=2 +6 𝑦= 4 +6 2 2 𝑦=10 10

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:

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

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

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

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

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)