Name___________________________________ Period___________ Unit 4 Review – Graphing Linear Equations Show work whenever work is required! 1. Given the equation y = 2x – 4: m = __________ b = ____________ 2. With a slope of -­‐5, you would graph by moving down _______ and over ________. 3. What is the y-­‐intercept of the graph shown? *Hint: Write as an ordered pair. 4. Which graph best represents the relationship between the height of a burning candle and the amount of time that passes as the candle burns? 5. What is the equation for the LINEAR parent function? Graph it on the right. 6. Rewrite -­‐4x + 8y = 12 in Slope Intercept form. 7. Graph the equation y = 4 8. Graph the function y = -­‐2x + 3 9. Graph x = 3. 10. What is the slope of the following graph? 11. Graph y = 5x
12. Find the x-­‐intercept and y-­‐intercept of the line with the equation 3x – 2y = 18. *Hint: Write as an ordered pair. x-­‐int: _____________ y-­‐int: _____________ 13. Graph the linear equation 2x – 4y = -­‐8. 14. Determine the slope of the line shown: 15. Find the slope and y-­‐intercept of the line with the equation -­‐6x + 2y = -­‐14 16. Graph the line that has an x-­‐intercept of 5 and a y-­‐intercept of-­‐2. 17. Graph the line that passes through the point (2, -­‐5) and has a slope of 3. 18. Daniel puts $200 in his bank account at the beginning of the year. Each month, $5 is deducted from his account for fees. Write an equation that represents the amount, a, remaining in his account after w weeks. Find the amount remaining in his account after 6 visits to the club. 19. What are the intercepts of the graph shown? Write your answer as an ORDERED PAIR! x-­‐int: _____________ y-­‐int: _____________ 20. Which of the following represents a horizontal line? a. y = -­‐2x b. x = 2y c. x = 3 d. y = 4 21. The amount an electrician charges is given by c = 25h + 100, where h is hours on spent on the job and c is the total amount he charges in dollars for the job. The electrician plans to change his rate. The amount he plans to charge is represented by the function c = 40h + 100. Which of the following (there may be more than one answer) is accurate? a. The amount he charges per hour will increase by $15 b. The amount he charges per hour will be $100 c. The total amount of each job is $100 d. The total amount of each job will increase by $15 22. Given c = 40h + 100 from #21, what is the: Rate of Change: _________________________ Starting Point:___________________________ Independent Variable:____________________ Dependent Variable:______________________ 23. Colleen loves shopping and has set up a shopping account. Colleen begins this fund by depositing $2000 in an account, and spends $100 each month. a. What represents the rate of change in this situation? ___________________________________ b. What is the starting point in this situation? ___________________________________________ c. Write a function rule (equation) for the amount of savings (s) Colleen will have after (m) months. _______________________________________________________ 24. Dave is climbing a ladder and his results are graphed below. Give the following: Rate of Change:_____________________________ 25. You have $20 and will be spending $5 a week. Write a function rule and graph this data. Function Rule: ________________________ Starting Point:______________________________ 26. Which of the following points line on the graph of y = -­‐3x + 6? a. (4, 0) b. (4, -­‐6) c. (2, 1) d. (-­‐3, 0) How many weeks until you are out of money? ____________________