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

Download Chapter 4 4.6 Slope Intercept Form. Objectives  Write a linear equation in slope-intercept form.  Graph a line using 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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