Download 7 Write Equation in y = mx + b.notebook

7 Write Equation in y = mx + b.notebook
September 27, 2016
Writing Equations in Slope Intercept Form
p286 #3­9odd, 17­25odd, 29, 31
Effort
5 = you could teach this topic
4 = you got most correct but have a question or two.
3 = getting some correct
2 = need more help with this
1 = frustrated
Warm Up
Identify the slope and the y­intercept in the following linear functions:
c. (3, 1) (0, 7)
b. a. m=_______
m=_______
b=_______
b=_______
m=_______
b=_______
Use the functions to find the following:
7 Write Equation in y = mx + b.notebook
September 27, 2016
The Race
Maggie and Emma race each other along a straight running track.
Maggie starts some distance ahead of Emma. The graph describes the race.
1. Who is running the fastest? Explain how you know.
2. Who won the race?
Explain how you know.
3. Who had a head start?
Explain how you know.
4. Describe what happens in this race.
1. Who is running the fastest? Explain your answer.
2. Emma's line can be represented by the equation: s = 5t s is the distance from the Starting Place
t is the time in seconds
What is the equation that represents Maggie's line?
3. Describe what happens in the race.
Writing Equations inSlope-Intercept Form
y = mx + b
b = y­intercept (0, b)
7 Write Equation in y = mx + b.notebook
September 27, 2016
Another Race
Wayne and Bob race each other along a straight running track.
Wayne's race can be described using the following equation:
s = 4t s is the distance from the Starting Place
t is the time in seconds
Bob starts 18 yards ahead of Wayne. He runs at a speed of 1 yard per second. What is the equation that can represent Bob's race?
Write an equation for the line.
#1) Slope is 4; y­intercept is 6
#2) Slope is ­1; y­intercept is ­3
#3) Slope is ­5; y­intercept is 0
#4) Joe has a 7 yard head start, and runs 2 yards per second.
7 Write Equation in y = mx + b.notebook
September 27, 2016
Write an equation of the line shown.
Write an equation of a line that passes through the two points.
(4, 6) and (0, 10)
7 Write Equation in y = mx + b.notebook
September 27, 2016
Write an equation of a line that passes through the two points.
(0, 5) and (2, 7)
Write an equation of a line that passes through the two points.
(0, 9) and (3,0)
7 Write Equation in y = mx + b.notebook
September 27, 2016
Bear Creek Fun Run
Mr. Muldrow and Mr. Nelson race each other at the Fun Run.
Mr. Nelson starts 5 yards ahead. After 3 seconds, he was 11 yards away from the start.
Write an equation that represents Mr. Nelson's race.
A Marathon Race
Ms. Cohen is running a marathon. She chose to represent her distance as a function of her time.
f(0) = 4
f(3) = 7 What does f(0) = 4 mean in terms of her race? What is another way we can write that?
What does f(3) = 7 mean?
What is another way we can write it?
Write an equation for Ms. Cohen's race.
7 Write Equation in y = mx + b.notebook
September 27, 2016
Write an equation of a line that passes through the two points.
f(0)= ­ 2 and f(8) = 4
In summary...
What two pieces of information do we need to write an equation of a line?
sometimes very straightforward
#1) Slope is 4; y­intercept is 6
sometimes have to work for it...
(0, 9) and (3,0)
7 Write Equation in y = mx + b.notebook
p286 #3 ­ 29 odd
September 27, 2016