| Date post: | 05-Jan-2016 |
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SWBAT… Write lines in slope-intercept form Tues, 1/19/10
Agenda1. WU (5 min)2. Graphing Calculator Activity (30 min)3. Discussion (15 min)4. Exit slip (5 min)
WU: Make the below corrections to the study guide:
#30: B. (7/4, 0), (0, -7/5)
#35: Change question: y = 3x + 2
Complete Study Guide!
• #2A) What conclusion can you make about the y-intercept (b) and and where it crosses the y-axis?
• What ever the value of b is, that is where the line will cross the y-axis.
• #2B) How did the graph of y = x + 1 transform from the parent function y =x?
• The line shifted up one unit.
What insight did you gain from this graphing calculator activity
(4th period)1. That you can graph a line on a calculator
and the calculator shows you the line2. The m is always in front of the x3. Step 1: First you plot the y-intercept (b)4. Step 2: Then you plot m from where you
left off5. The y-intercept (b) is where b crosses
the y-axis
What insight did you gain from this graphing calculator activity
(2nd period)1. How to use a graphing calculator2. Y = mx + b, m is the number in front of
x3. b is called the y-intercept4. Step 1: You use b to plot your first
point5. Step 2: You then plot the slope from
the y-intercept
What insight did you gain from this graphing calculator activity
(6th period)1. Given y = mx + b, m is the number in
front of x2. Calculators can graph lines3. b is the y-intercept4. Step 1: First you plot the y-intercept onto
the graph5. Step 2: You then plot the slope from
where you left off
SWBAT… Write lines in slope-intercept form Wed, 1/20/10
Agenda1. Warm-up (5 min)2. Notes on slope intercept – 5 examples (25 min)3. Work on hw#3 (15 min)
WARM-UPWhat is the slope and y-intercept of each
equation:
1. y = 4x + 22. y = -x – 23. y = 3x 4. y = -5
HW#3: Writing equations in slope-intercept form and COMPLETE STUDY GUIDE!!
Conclusion “I” from TI-83 Activity:
• Graph #4 rises and graph #9 falls. This is because the slope of #4 is positive and the slope of #9 is negative.
• The graph of #4 crosses on the negative side of the y-axis and the graph of #9 crosses on the positive side of the y-axis. This is because #4 has a y-intercept of -2 and #9 has a y-intercept of 1.
Slope-intercept form:Slope-intercept form:Slope-intercept form:Slope-intercept form:
What is the slope? ____________
2 1y x Now look at the equation below……
What is the y-intercept? ____________
Given y = 4x + 2, what is the slope and the y-intercept?m = 4b = 2
Given y = -x – 2, what is the slope and the y-intercept?
m = -1b = -2
Given y = 3x, what is the slope and the y-intercept?
m = 3b = 0
Given y = -5, what is the slope and the y-intercept?
m = 0b = -5
• y = mx+ b is an equation that defines a line
• A line has two characteristics1. Slope2. Points that fall on the line
Converting linear Converting linear equations into Slope-equations into Slope-
Intercept FormIntercept Form
5 Examples 5 Examples
Converting linear Converting linear equations into Slope-equations into Slope-
Intercept FormIntercept Form
5 Examples 5 Examples
Slope intercept form is:
y = mx + b
Our main goal is to get the y alone on one side of the
equation
Example 1 - convert into slope-intercept Example 1 - convert into slope-intercept formform
Example 1 - convert into slope-intercept Example 1 - convert into slope-intercept formform
2 4 2y x 2 2 2
(divide both sides by 2 to get y alone)
(now simplify all fractions)
2 1
2 1y x
Slope (m) = 2
y-intercept (b) = 1
(divide both sides by 5 to get y alone)
(now simplify all fractions)
y = 2x + 3 BRAVO!!
Slope (m) = 2
y-intercept (b) = 3
5y = 10x + 15
*** Your turn – Example 2 – convert
into slope-intercept form ***
5 5 5
2 3
*** Your turn – Example 3 – convert
into slope-intercept form ***
-3y = -9x – 12Step 1: divide both sides by -3 to get y alone
Step 2: Simplify all fractions
Step 3: Write your equation in y = mx + b
Slope (m) =
y-intercept (b) =
*** Check Your Answer ***
(divide both sides by -3 to get y alone)
(now simplify all fractions)
y = 3x + 4
-3y = -9x – 12-3 -3 -3
Slope (m) = 3
y-intercept (b) = 4
21x – 7y = 14(subtract both sides by 21x)
-7y = -21x + 14 (divide both sides by -7)
y = 3x – 2(simplify all fractions)
Slope (m) = 3
y-intercept (b) = -2
Example 4 - convert into slope-intercept Example 4 - convert into slope-intercept formform
Example 4 - convert into slope-intercept Example 4 - convert into slope-intercept formform
-21x -21x
-7 -7 -7
3 2
2y + 26 = -6xStep 1: Subtract both sides by 26
Step 2: Divide both sides by 2 to get y by itself
Step 3: Simplify all fractions
Slope (m) =
y-intercept (b) =
Example 5 - convert into slope-intercept Example 5 - convert into slope-intercept formform
Example 5 - convert into slope-intercept Example 5 - convert into slope-intercept formform
2y + 26 = -6x(subtract both sides by 26)
2y = -6x – 26(now divide both sides by 2
y = -3x – 13
(simplify all fractions)
*** Check Your Answer ***
26 -26
2 2 2
Slope (m) = -3
y-intercept (b) = -13
HW#3• Q 1 – 9: Similar to WU• Q 10 – 15: What we did today
(solve for y)• Question 17 – 19: First find slope
from the two points (using rise/run), then find the b (where the line crosses the y-axis.)
Fri, 2/22/10
http://nlvm.usu.edu/en/nav/frames_asid_332_g_4_t_2.html?from=category_g_4_t_2.html
SWBAT… Write lines in slope-intercept form Thursday, 1/21/10
Agenda1. Warm-up (2 min)2. Review hw#3 (10 min)3. Brain Pop video & quiz (8 min)4. Review for test (30 min)
WARM-UP1. Take out hw#32. Take out study guide
STUDY FOR FINAL!!!
• Red Cards = #1
• Black Cards: Insert a 1 in front of number. For example, a black 2 = 12.
