CST WARM-UP: 10/22/13 1)Find the slope of 0,4 and 2,5 . 1 A.2 B. 2 1 C. 2 D. 2
CST W ARM -U P : 10/22/13. 4.4 - SLOPE-INTERCEPT FORM OF A LINE.
Mar 26, 2015
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CST WARM-UP: 10/22/13
1) Find the slope of 0,4 and 2,5 .
1A. 2 B.
2
1C. 2 D.
2
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
4.4 - SLOPE-INTERCEPT FORM OF A LINE
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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