6-4 Slope-Intercept Form

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Warm ups
1.
Find the x and y intercepts: 3x -9y = 18
2.
Write in Point-Slope Form:
(5,-3) m = -2
(6, 0)(0, 2)
y  3  2( x  5)
3.
Write in Standard Form:
(2,3) (0,3)
y3
(3,4) (-1,8)
y  4  1( x  3)
or
y  8  1( x  1)
(4, -5) m = -3
3x  y  7
Reminders
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6-4 Slope-Intercept
Form
Objective: To write an equation in
slope-intercept form.
Slope-Intercept Form
Does anyone know what it is?...
y = mx + b
m = slope
b = y-intercept (this is on y axis)
Given slope and y-intercept
Example 1: Write an equation in slope-intercept form
Given: m = 4 b = -2
y = 4x – 2
Example 2: Write an equation in slope-intercept form
3
Given:
m   ,b  5
2
3
y   x5
2
Write in Slope-Intercept
5x – 4y = 20
5x
5x
4 y  5 x  20
4
4
5
y  x 5
4
4
2
y  3   ( x  3)
3
2
y3  x2
3
3
3
2
y   x5
3
Example 5
Write an equation in slope-intercept form given:
(2,1) (4,0)
x1 y1
x2 y2
0 1
1
m

42
2
Steps:
1.
Find slope
2.
Plug into point-slope
3.
Convert to slope-intercept
1
y  0   ( x  4)
2
1
y   x2
2
Example 6
Write an equation in slope-intercept form given:
(0,6) (4,0)
x1 y1
x2 y2
06
6  3
m


40
2
4
3
y  6   ( x  0)
2
3
y6   x
2
3
y   x6
2
Given a graph
Example 7: write an equation in slope-intercept form
b=2
m = -2/3
-2
3
2
y   x2
3
Given a graph
TOO: write an equation in slope-intercept form
b = -4
m=1
y=x–4
1
1
TOO – students can present.
1.
2.
3.
m = 5, b = -3
y – 2 = 4(x + 7)
(-2,-3) (-1,2)
Answers:
1. y = 5x – 3
2. y = 4x + 30
3. y = 5x + 7
Homework time
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Pg. 351 # 28-39
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Work quietly in your seat
Also, finish all unfinished homework.
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