CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.
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Transcript of CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.
![Page 1: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/1.jpg)
CST WARM-UP: 10/22/13
1) Find the slope of 0,4 and 2,5 .
1A. 2 B.
2
1C. 2 D.
2
![Page 2: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/2.jpg)
CST WARM-UP: 10/22/13
2) Find the slope of 3,6 and 1,9 .
2 3A. B.
3 2
2 3C. D.
3 2
![Page 3: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/3.jpg)
4.4 - SLOPE-INTERCEPT FORM OF A LINE
![Page 4: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/4.jpg)
STANDARD FORM OF A LINE:
Linear Equations can be written in standard
form : Ax By C
Examples of equations in standard form :
) 3 4 3 ) 5 2 9a x y b x y
Examples of equations in standard form :
3) 3 4 3 ) 1
n t
4
o
a x y b y x
![Page 5: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/5.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Linear Equations can be written in slope intercept
form : y mx b
Examples of equations in slope intercept form :
9) 3 2 ) 4
2a y x b y x
Examples of equations in slope intercept form :
3) 3 4 3 )
not
14
a x y b x y
![Page 6: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/6.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
) represents the slope of the linerise
a mrun
) represents the intercept: where
the line crosses the axis
b b y
y
) , represents any point on the linec x y
Linear Equations can be written in slope intercept
form : y mx b
![Page 7: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/7.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Identify the slope (m) and the y-intercept (b):
y mx b 3
) 27
a y x ) 4 5b y x
2)
5c y x
3) 2
4d x y
32
7m b 4 5m b
20
5m b
4 8
3 3m b
![Page 8: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/8.jpg)
STANDARD FORM OF A LINE:
Graph the line using the x and y-intercepts:) 3 2 6a x y
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
int .: 3 6
2
x x
x
int .: 2 6
3
y y
y
![Page 9: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/9.jpg)
STANDARD FORM OF A LINE:
Graph the line using the x and y-intercepts:) 4 2 6b x y
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
int .: 4 6
31.5
2
x x
x
int .: 2 6
3
y y
y
![Page 10: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/10.jpg)
STANDARD FORM OF A LINE:
Graph the line using the x and y-intercepts:) 4 2 6b x y
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
int .: 4 6
31.5
2
x x
x
int .: 2 6
3
y y
y
![Page 11: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/11.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Graph the line using the slope-intercept form:
3) 2
4a y x
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
3
4m
2b
![Page 12: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/12.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Graph the line using the slope-intercept form:
3) 4
2b y x
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
3
2m
4b
![Page 13: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/13.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Graph the line using the slope-intercept form:
) 2c y x
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
1
1m
2b
![Page 14: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/14.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Graph the line using the slope-intercept form:
) 2 3d y x
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
2
1m
3b
![Page 15: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/15.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Graph the line using the slope-intercept form:
5)
4e y x
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
5
4m
0b
![Page 16: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/16.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Graph the line using the slope-intercept form:
) 2f y
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
0m
2b
![Page 17: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/17.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Graph the line using the slope-intercept form:
) 4g x
1 2 3 4 5 6-1-2-3-4-5-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
x
y
undefinedm
noneb
![Page 18: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/18.jpg)
SLOPE-INTERCEPT FORM OF A LINE:
Write the equation of a line in slope-intercept
form given the following information:2) , 2
5a m b 3
) , 52
b m b
) 3, 0c m b
22
5y x 3
52
y x
3y x
![Page 19: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/19.jpg)
CONVERTING FORMS OF A LINE:
Standard form can be converted to slope-intercept form.
2 3 5x y
3 2 5y x
2 2x x
3 3 3
2 5
3 3y x
![Page 20: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/20.jpg)
CONVERTING FORMS OF A LINE:
Standard form can be converted to slope-intercept form.
3 4 16x y 3 3x x
4 3 16y x 4 4 4
34
4y x
![Page 21: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/21.jpg)
CONVERTING FORMS OF A LINE:Slope-intercept form can be converted
to standard form.2
13
y x
21
3y x
23 1 3
3y x
1 1
3 3 2y x 3 3y y
3 2 3 2 3 3x y x y
![Page 22: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/22.jpg)
CONVERTING FORMS OF A LINE:Slope-intercept form can be converted
to standard form.45
3y x
45
3y x
43 5 3
3y x
5 5
3 15 4y x 3 3y y
4 3 15x y
![Page 23: CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.](https://reader036.fdocuments.in/reader036/viewer/2022062511/55141277550346e7488b510b/html5/thumbnails/23.jpg)
CONVERTING FORMS OF A LINE:Slope-intercept form can be converted
to standard form.5
14
y x
51
4y x
54 1 4
4y x
1 1
4 4 5y x 4 4y y
5 4 4x y