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Warm Up In Practice workbook Page 70 #s 1, 2, 10, 12, 13, 14, 17, 18 Have out your homework
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Slope – Intercept Form of Linear Equations
One way to graph the equation of a line is to use _____________ ______________________. Examples 1. Graph of the line that goes through the points (-2, 3) and (4, 5). What is the slope of the line?
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You can also graph the equation of a line using the __________________ and __________________________ of the line!
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Examples Graph the line of the equation with the given slope and y-intercept. 2. slope = y-intercept = 4 STEP 1 STEP 2 STEP 3
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Examples Graph the line of the equation with the given slope and y-intercept. 3. slope = 2 y-intercept = -3
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Try It! Graph the line of the equation with the given slope and y-intercept. 4. slope = 5. slope = y-intercept = 1 y-intercept = 0
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SLOPE – INTERCEPT FORM of LINEAR EQUATION
Any linear equation can be written in slope-intercept form by ___________________________________________________.
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Examples Write the equation that describes the line in slope – intercept form. 6. slope = 7. slope = -9 y-intercept = 4 y-intercept =
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Try It! Write the equation that describes the line in slope – intercept form. 8. slope = 9. slope = 0 y-intercept = -2 y-intercept = 15
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Examples Write the equation that describes the line in slope-intercept form. 10.
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Examples Write the equation that describes the line in slope-intercept form. 11. slope = 2; (3, 4) is on the line
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Examples Write the equation that describes the line in slope-intercept form. 12. slope = ; (-6, 1) is on the line
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Examples Write the equation in slope – intercept form
Examples Write the equation in slope – intercept form. Then graph the line described by the equation y + 3x = 6
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Examples Write the equation in slope – intercept form
Examples Write the equation in slope – intercept form. Then graph the line described by the equation x + 2y = -10
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Examples Write the equation in slope – intercept form
Examples Write the equation in slope – intercept form. Then graph the line described by the equation. 15. y = -3
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16. 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. a. Write an equation that represents the cost as a function of the number of hours.
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16. 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. b. Identify the slope and y-intercept and describe their meanings.
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16. 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. c. Find the cost if the organizer works 12 hrs.
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17. A caterer charges a $200 fee plus $18 per person served
17. 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. a. Write an equation that represents the cost as a function of the number of guests.
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17. A caterer charges a $200 fee plus $18 per person served
17. 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. b. Identify the slope and y-intercept and describe their meanings.
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17. A caterer charges a $200 fee plus $18 per person served
17. 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. c. Find the cost of catering an event for 200 guests.
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