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## Chapter 4

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**Chapter 4**4.6 Slope Intercept Form**Objectives**• Write a linear equation in slope-intercept form. • Graph a line using slope-intercept form.**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**Example#1**• Graph the line given the slope and y-intercept. Slope = -2/5 and y = 4**Example #2**• Graph the line given the slope and y-intercept. • slope = 2, y-intercept = –3**Student guided practice**• Do problems 1-4 in your book pg.272**Sloe-intercept form**• you know the slope of a line and the y-intercept, you can write an equation that describes the line.**Example #3**• If a line has a slope of 2 and the y-intercept is 3.Write the slope intercept form of the line.**Example#4**• Write the equation that describes the line in slope-intercept form. • slope =1/4 ; y-intercept = 4**Example**• Write the equation that describes the line in slope-intercept form. • slope = –9; y-intercept = 5/4**Student guided practice**• Do problems 6 and 7 in your book page 272**Example**• Write the equation that describes the line in slope-intercept form.**Example**• Write the equation that describes the line in slope-intercept form. • slope = 2; (3, 4) is on the line.**Example**• Write the equation in slope-intercept form. Then graph the line described by the equation. • A)y = 3x – 1 • B) 2y + 3x = 6**Example**• Write the equation in slope-intercept form. Then graph the line described by the equation. • Y=-4**Student guided practice**• Do problems 10 to 12 in your book page 272**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.**for each hour**$30 plus Cost is $100 + = y 30 100 •x Application • a. Write an equation that represents the cost as a function of the number of hours. • Solution An equation is y = 30x + 100.**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.**Homework**• Do problems 14-20 in your book page 272**Closure**• Today we learned about the slope intercept form • Next class we are going to learned about point-slope form.