warm ups 1. find the x and y intercepts: 3x -9y = 18 2. write in point-slope form: (5,-3) m =...
TRANSCRIPT
Warm ups1. Find the x and y intercepts: 3x -9y = 18
2. Write in Point-Slope Form:
(5,-3) m = -2 (3,4) (-1,8)
3. Write in Standard Form:
(2,3) (0,3) (4, -5) m = -3
(6,0)(0, 2)
3 2( 5)y x
4 1( 3)
8 1( 1)
y x
or
y x
3y 3 7x y
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 = slopeb = 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
Given:
35
2y x
3, 52
m b
Write in Slope-Intercept
5x – 4y = 202
3 ( 3)3
y x 5x 5x
4 5 20y x
4 4 4
55
4y x
23 2
3y x 3 3
25
3y x
Example 5
Write an equation in slope-intercept form given:
(2,1) (4,0)
Steps:
1. Find slope
2. Plug into point-slope
3. Convert to slope-intercept
x1 y1 x2 y2
0 1
4 2m
1
2
10 ( 4)
2y x
12
2y x
Example 6
Write an equation in slope-intercept form given:
(0,6) (4,0) x1 y1 x2 y2
0 6
4 0m
6
4
3
2
36 ( 0)
2y x
36
2y x
36
2y x
Given a graph
Example 7: write an equation in slope-intercept form
b = 2
m = -2/3
-2
32
23
y x
Given a graph
TOO: write an equation in slope-intercept form
b = -4 m = 1
11
y = x – 4
TOO – students can present.
1. m = 5, b = -3
2. y – 2 = 4(x + 7)
3. (-2,-3) (-1,2)
Answers:
1. y = 5x – 3
2. y = 4x + 30
3. y = 5x + 7
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Homework
Slope-Intercept Form Practice
Math Lab Warm ups1. Find the x and y intercepts: 6x - 2y = 24
2. Write in Point-Slope Form:
(2,-1) m = -5 (6,-2) (0,5)
3. Write in Standard Form:
(0,7) (1,2) (5, 9) m = 3