Hands-on Activity: Competition Time Matching: Slope-Intercept Form & GraphMatching: Slope-Intercept...
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Transcript of Hands-on Activity: Competition Time Matching: Slope-Intercept Form & GraphMatching: Slope-Intercept...
Hands-on Activity: Competition Time
• Matching: Slope-Intercept Form & Graph
Home-Learning Assignment #3 - Home-Learning Assignment #3 - ReviewReview
What we Know so far….What we Know so far….
Slope Intercept Form
bmxy
Where m is the slope and b is the intercept
Name:Date: Period:
Quick Review:
Topic: 1. Point-Slope Form 2. Standard FormEssential Question: What can be used to write and graph the equation of a line? Which form would better help me graph & write linear equations?
By the end of today’s class you will be able to write and graphlinear equations using point-slope form
By the end of today’s class you will be able to write and graphlinear equations using point-slope form
Objective:
In this lesson you will learn a different strategy – one
that uses the point-slope form of an equation of a line
Previously you learned one strategy for writing a linear equation
when given the slope and a point on the line..
The New Stuff… Point- Slope The New Stuff… Point- Slope FormFormPoint- Slope form is:
)( 11 xxmyy Where m is the slope
and (x1,y1) is the given point
Example #1
Write the equation of the line that goes through the point (2, –3) and has a slope of 4.
Point = (2, –3)
Slope = 4
y – y1 = m (x – x1)
y + 3 = 4 (x – 2)
Starting with the point – slope form
Plug in the y-value, the slope, and the x-value to get
Notice, that when you replaced the “y1” it became “+3”.
Write the Equation in Point-Slope Write the Equation in Point-Slope FormForm
)6,1(3
1 andm
)( 11 xxmyy Step 1: Plug it in
1 2 43
5
-1-2-3-4-5
1
2
3
4
5-1
-2-3
-4
-5
What is the graph of y – 1 = (x – 2)?
??????
Using two points to write Using two points to write an equation in point-slope an equation in point-slope
formformCan you write the equation of a line in point-slope
form that passes through (-3,6) and (1,-2)
??????
Using two points to write an Using two points to write an equation in point-slope equation in point-slope
formform
1 2 43
5
-1-2-3-4-5
1234
5-1-2-3-4-5
(2,2)
(0,-3)
Standard Form
Ax + By = C
x-interceptx-intercept - the point (ordered pair) where a line crosses the x-axis.
y-intercepty-intercept - the point (ordered pair) where a line crosses the y-axis.
The word “intercept” means to cross.
Using Standard Form:To find an intercept, set the other
variable equal to zero.
3x – 5y = 15
Ax + By = C
1) 3x + 4y = 24
2) 7x + 8y = 21
Your Turn (Find x & y-intercept):
Graph using X & Y-intercepts:
1) 3x + 4y = 24
2) 7x + 8y = 21
Graphing Horizontal Lines: Slope is zero. Equation form is y = #.
a) y = -2
b) y = 3
c) y = 1
Graphing Vertical Lines: Slope is undefined. Equation form is x = #.
a) x = -1
b) x = 3
c) x = 4
Transforming to Standard Form (Ax + By = C):
y = 3x + 4
y = 3/7x + 4
y – 2 = - 1/3(x + 6)
Making the connection:
How can I write the following point-slope form in slope-intercept form?
y + 3 = 4 (x – 2)
How can I write the following standard form in slope-intercept form?
-4x + y = - 11
Practice:Practice:
Page 316-318Page 316-318
(2-6, 12, 35) (2-6, 12, 35)
Page 323 (6)Page 323 (6)
Review for Exam #4
Wrap-Up:Wrap-Up:
•Vocabulary & Forms Review
HLA #4: Point-Slope Form & Standard FormPage 316 – 318 (14, 16, 39)
Page 324 (12, 14)