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Name: _________________________________________________ Date: _______________ Period: _____ Algebra 1 – Bowling, Delso, Fletcher, Skiles Review for Test 6: Linear Functions II 1. Write an equation for a line with slope of 3 and y-intercept −8. 2 2. Write an equation for a line with slope of − and y-intercept 4. 3 3. Write an equation for a line that goes through (0, −5) with a slope of −3. 4. Write an equation for a line with a slope of 1 that passes through the point (0, 0). 1 5. Identify the slope and y-intercept of: 𝑦 = 𝑥 + 7 5 Slope_______ Y-Intercept_______ 6. Identify the slope and y-intercept of: 𝑦 = −5𝑥 Slope_______ Y-Intercept_______ 7. Identify the slope and y-intercept of: 𝑦 = 3 Slope_______ y-intercept_______ 8. Identify the slope and y-intercept of: 𝑦 = 2 − 5𝑥 Slope_______ y-intercept_______ 9. Write the equation in slope intercept form: −4𝑥 + 2𝑦 = 8 Then identify slope and y-intercept. 10. Write the equation in slope intercept form: 6𝑥 − 4𝑦 = −4 Then identify slope and y-intercept. Slope_______ Slope_______ Y-Intercept_______ 11. What is the slope and y-intercept of the linear equation: 𝑥 − 4𝑦 = −12 (What do you need to do 1st?) Y-Intercept_______ 12. Given the graph below, identify the following: Slope: Slope_______ y-int: Y-Intercept_______ Equation of the line: 13. Graph the following equations and identify the slope and the y intercept: a. 𝑦 = −4 b. 𝑥 = 3 Slope_______ Slope_______ Y-intercept_______ Y-intercept______ 14. Jerod is buying a house. He has a down payment of $6,500 and a monthly payment of $725 per month. If Jerod were to graph the total amount of money he has paid for his house as a function of the number of months he has owned the house, what would the slope and y-intercept of the graph be, and what do they represent? Slope: _______ Represents: y-intercept: _______ Represents: Write an equation Jerod can use to calculate the total amount he will pay, y, based on how many months he has owned his home, x. 15. Jenny is renting a moving truck. She will have to pay a one-time fee for insurance coverage and pay the daily rate for the truck each day she uses it. The total cost of renting the truck in terms of the number of days the move will take can be modeled by the equation 𝑦 = 110𝑥 + 85. What’s the slope? _______ What’s the y-intercept? _______ Match the parts of the equation in column A to their correct representation in column B. Column A What does x represent? Column B the one-time fee for insurance coverage What does y represent? the cost per day for renting the truck; the daily rate What does the slope represent? the number of days the move takes What does the y-intercept represent? the total cost 16. Which of the following is the graph of: 𝑦 = −2𝑥 + 4? A. B. C. D. 17. Which of the following is the graph of: −𝑥 + 2𝑦 = −4? A. B. C. D.