# 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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