# chapter 4 4.6 slope intercept form. objectives write a linear equation in slope-intercept form....

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- Slide 1
- Chapter 4 4.6 Slope Intercept Form
- Slide 2
- Objectives Write a linear equation in slope-intercept form. Graph a line using slope-intercept form.
- Slide 3
- Slope intercept form You have seen that you can graph a line if you know two points on the line. Another way is to use the slope of the line and the point that contains the y-intercept. This is y= mx+b also known as the slope intercept form
- Slide 4
- Example#1 Graph the line given the slope and y-intercept. Slope = -2/5 and y = 4
- Slide 5
- Example #2 Graph the line given the slope and y-intercept. slope = 2, y-intercept = 3
- Slide 6
- Student guided practice Do problems 1-4 in your book pg.272
- Slide 7
- Sloe-intercept form you know the slope of a line and the y-intercept, you can write an equation that describes the line.
- Slide 8
- Example #3 If a line has a slope of 2 and the y-intercept is 3.Write the slope intercept form of the line.
- Slide 9
- Example#4 Write the equation that describes the line in slope-intercept form. slope =1/4 ; y-intercept = 4
- Slide 10
- Example Write the equation that describes the line in slope-intercept form. slope = 9; y-intercept = 5/4
- Slide 11
- Student guided practice Do problems 6 and 7 in your book page 272
- Slide 12
- Example Write the equation that describes the line in slope-intercept form.
- Slide 13
- Example Write the equation that describes the line in slope-intercept form. slope = 2; (3, 4) is on the line.
- Slide 14
- Example Write the equation in slope-intercept form. Then graph the line described by the equation. A)y = 3x 1 B) 2y + 3x = 6
- Slide 15
- Example Write the equation in slope-intercept form. Then graph the line described by the equation. Y=-4
- Slide 16
- Student guided practice Do problems 10 to 12 in your book page 272
- Slide 17
- Application A closet organizer charges a $100 initial consultation fee plus $30 per hour. The cost as a function of the number of hours worked is graphed below.
- Slide 18
- Application a. Write an equation that represents the cost as a function of the number of hours. Solution Costis $30 for each hour plus $100 y = 30 x + 100 An equation is y = 30x + 100.
- Slide 19
- Application A caterer charges a $200 fee plus $18 per person served. The cost as a function of the number of guests is shown in the graph. . Write an equation that represents the cost as a function of the number of guests.
- Slide 20
- Homework Do problems 14-20 in your book page 272
- Slide 21
- Closure Today we learned about the slope intercept form Next class we are going to learned about point-slope form.

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