warm up identify the slope and y-intercept of each equation. 1.y = -6x 2.y = 3x – 7 3.4x – y = 5...
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WARM UP
Identify the slope and y-intercept of each equation.1. Y = -6x2. Y = 3x – 73. 4x – y = 54. 7x – 3y = 4
5 Minutes Remain
WARM UP
Identify the slope and y-intercept of each equation.1. Y = -6x2. Y = 3x – 73. 4x – y = 54. 7x – 3y = 4
4 Minutes Remain
WARM UP
Identify the slope and y-intercept of each equation.1. Y = -6x2. Y = 3x – 73. 4x – y = 54. 7x – 3y = 4
3 Minutes Remain
WARM UP
Identify the slope and y-intercept of each equation.1. Y = -6x2. Y = 3x – 73. 4x – y = 54. 7x – 3y = 4
2 Minutes Remain
WARM UP
Identify the slope and y-intercept of each equation.1. y = -6x2. y = 3x – 73. 4x – y = 54. 7x – 3y = 4
1 Minute Remains
WARM UP
Identify the slope and y-intercept of each equation.1. Y = -6x2. Y = 3x – 73. 4x – y = 54. 7x – 3y = 4
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4.7 Graphing Lines Using Slope-Intercept Form
CLASS SCHEDULE UNTIL BREAK:12/9 -12/12: Graphing Lines using Slope-Intercept Form12/13: Quiz12/16-12/17: Functions and Relations12/18: Chapter 4 review12/19: Chapter Four Test12/20: Catch-up day or Christmas Graphs.
4.7 Graphing Lines Using Slope-Intercept Form
Today’s Schedule:•Lesson 4.7 Powerpoint•In class assignment/homework•Exit SlipGOAL: Graph a linear equation in slope-intercept form.KEY WORDS: slope, y-intercept, slope-intercept form, parallel lines.
4.7 Graphing Lines Using Slope-Intercept Form
SLOPE-INTERCEPT FORM OF THE EQUATION OF A LINE
The linear equation y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept.
y = mx + b
slopey-intercept
4.7 Graphing Lines Using Slope-Intercept Form
EXAMPLE 3 Identify Parallel Lines
Which of the following lines are parallel?Line a: -x + 2y = 6 line b: -x + 2y = -2 line c: x + 2y = 4
1 Rewrite each equation in slope-intercept form.
Line a: y = ½x + 3 line b: y = ½x - 1 line c: y = -½x + 2
4.7 Graphing Lines Using Slope-Intercept Form
EXAMPLE 3 Identify Parallel Lines
Which of the following lines are parallel?Line a: -x + 2y = 6 line b: -x + 2y = -2 line c: x + 2y = 4
2 Identify the slope of each equation.
Line a: slope is ½ line b: slope is ½ line c: slope is -½
4.7 Graphing Lines Using Slope-Intercept Form
EXAMPLE 3 Identify Parallel Lines
Which of the following lines are parallel?Line a: -x + 2y = 6 line b: -x + 2y = -2 line c: x + 2y = 4
3 Compare the slopes.
Lines a and b are parallel because each has a slope of ½.
Line c is not parallel to either of the other two lines because it has a slope of -½.
4.7 Graphing Lines Using Slope-Intercept Form
Practice: Are the following lines parallel?line a: 3x + 2y = 6 line b: 6x +4y = 6
Sí, paralelo!Tu’ estas certificada!
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PARALLEL LINES Determine whether the graphs of the two equations are parallel. Graph the lines and explain
your answer.1. Line a: y = -3x + 2 Line b: y + 3x = -42. Line a: 2x – 12 = y Line b: y = 10 + 2x3. Line a: y = x + 8 Line b: x – y = -14. Line a: 2x – 5y = -3 Line b: 5x + 2y = 65. Line a: y + 6x = 8 Line b: 2y = 12x – 46. Line a: 3y – 4x = 3 Line b: 3y = -4x + 9
GRAPH THESE LINES Put the equation in slope intercept form (y = mx + b) and graph.
7. Y = 2x + 4
8. Y = - x -2
9. Y = - + 3
10. Y = x - 4
1 2 3 4
4 3
11. -x + y = 5
12. y – 3x = -3
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