Warm ups Find the slope: (2,1) (8,9) (7,-8) (14,-6) (-4,-1) (-2,-5) Answers: 4/3 2/7 -2 Zero Undefined Find the slope: (2,1) (8,9) (7,-8) (14,-6) (-4,-1) (-2,-5) (4,1) (-4,1) (3,2) (3,-2)

Interpreting Distance Time Graphs Objective: To interpret distance time graphs

Now it’s YOUR turn With a partner: Each person write a story Switch Draw a graph of your partners story

Now it’s YOUR turn With a partner: Each person draw a graph Switch Write a story that matches your partners graph

Matching a Graph to a Story A. Tom took his dog for a walk to the park. He set off slowly and then increased his pace. At the park Tom turned around and walked slowly back home. B. Tom rode his bike east from his home up a steep hill. After a while the slope eased off. At the top he raced down the other side. C. Tom went for a jog. At the end of his road he bumped into a friend and his pace slowed. When Tom left his friend he walked quickly back home.

A. Tom took his dog for a walk to the park A. Tom took his dog for a walk to the park. He set off slowly and then increased his pace. At the park Tom turned around and walked slowly back home. B. Tom rode his bike east from his home up a steep hill. After a while the slope eased off. At the top he raced down the other side. C. Tom went for a jog. At the end of his road he bumped into a friend and his pace slowed. When Tom left his friend he walked quickly back home. Explaining the match P-10

Homework What kind of monkey can fly?

6-1 Slope (old lesson) Objective: To find a missing coordinate given two points and the slope.

Example 1 Find the missing coordinate (r) 3 = r – (-3) 4 7 – (-1) (-1,-3) (7, r) m = ¾ 3 = r – (-3) 4 7 – (-1) 3 = r + 3 4 8 4(r + 3) = 3(8) 4r + 12 = 24 4r = 12 r = 3 x1 y1 x2 y2 m = y2 – y1 x2 – x1 **This is a proportion Cross multiply!

Example 2 Find the missing coordinate (r) -2 = -5 – (-1) 1 r – (-4) (-4,-1) (r, -5) m = -2 -2 = -5 – (-1) 1 r – (-4) -2 = -4 1 r + 4 -2(r + 4) = 1(-4) -2r – 8 = -4 -2r = 4 r = -2 x1 y1 x2 y2 m = y2 – y1 x2 – x1 **This is a proportion Cross multiply!

TOO Find the missing coordinate (r) -1 = 4 – r 2 10 – (-2) -1 = 4 - r (-2,r) (10,4) m = -1/2 -1 = 4 – r 2 10 – (-2) -1 = 4 - r 2 12 2(4 – r) = -1(12) 8 – 2r = -12 -2r = -20 r = 10 x1 y1 x2 y2 m = y2 – y1 x2 – x1 **This is a proportion Cross multiply!

Example 3 Find the missing coordinate (r) 2 = 6 – r 1 r – 12 (12,r) (r,6) m = 2 2 = 6 – r 1 r – 12 1(6 – r) = 2(r – 12) 6 – r = 2r – 24 6 = 3r – 24 30 = 3r r = 10 m = y2 – y1 x2 – x1 x1 y1 x2 y2 **This is a proportion Cross multiply! Combine like terms

Homework Pg. 330 #30-38 Show all of your work 

ZONK Let’s the games begin!!