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Slope Test Review I. Tell whether the set of ordered pairs satisfies a linear function. If it satisfies a linear function, write an equation that shows the relationship. (HINT: you may want to write the ordered pairs in chart form) a. {(-2, 6), (-1, 8), (0, 10), (1, 12), (2, 14)} ____________________________ b. {(1,5), (3,9), (5, 14), (7, 20)} ____________________________________ c. {(0, -20), (5, -40), (10, -60), (15, -80), (20, -100)} _____________________ II. Find the x and y intercepts of the following equations. a. 3x + 6y = 18 x int _________ y int ________ b. -2x + 5y = 10 x int _________ y int ________ c. – 4x – 7y = 28 x int _________ y int ________ III. Graph the following equations using intercepts. a. 5x – 2y = 10 b. -3x + 4y = -12 c. 6x + 2y = 6 IV. Find the slope of the line that passes through the given points. 1. (3,8) (-4,7) ______ 2. (-5.-2) (-7,-4) ______ 3. (4,9) (2,9) ______ 4. (1,7) (5,2) ______ 5. (5,-8) (5,9) ______ 6. (8,4) (2,7) ______ V. Identify the slope and y-intercept in the following graphs and write the equation of the line in slope-intercept form AND standard form. 7. 8. Slope-Intercept Form: ____________________ Slope-Intercept Form: _______________ Standard Form: Standard Form: ____________________ ____________________ VI. Write an equation in slope-intercept from for the line that satisfies the following conditions. 9. A line with a slope of 6 and a y-intercept of (0,4) _____________________ 10. A line with a slope of 4/5 and a y-intercept of - 5. _____________________ 11. A line with a slope of -2/3 and a y-intercept of (0,-7) _____________________ 12. A line with a slope of -4 and a y-intercept of 6. _____________________ IV. Identify the slope and y-intercept in the following situations, then write an equation of the line that satisfies the condition and solve is necessary. 13. A rental car company charges $20 per day and $0.10 per mile. Write an equation to show the cost to rent the car for one day if you drive x miles. How much would it cost if you drive 120 miles. Equation: ________________________ Cost for 120 miles: _________________ 14. Julio wants to hire a band for his party. They charge $15 per hour and a $50 fee for travel expenses. Identify the slope and y-intercept and write an equation to show the total cost if the band plays for x hours. What would be the cost if the band played for 3 hours. Equation: ________________________ Cost for 120 miles: _________________ 15. Write a situation in which the equation 5x + 10 y = 60 would satisfy the conditions. ___________________________________________________________________________________ Linear Equation Review – pg. 2 V. Graph the following equations using the slope and y-intercept 16. y = 3x – 5 1 18. y x 4 3 17. y = -2x -1 VI. Write the following equations in slope-intercept form, then graph. 19. -2x + 3y = 9 _____________ 20. 4x – 5y = 15 ______________ VII. Graph the following equations 21. y = 3 22. x = -2 23. x = 7 25. Describe the slope of parallel lines. 24. y = -1 ______________________________________________________ 27. Describe the slope of perpendicular lines. ________________________________________________ VIII. Write an equation of a line that is parallel and one that is perpendicular to the following functions. Parallel: ____________________________ 2 x4 3 Parallel: ____________________________ Perpendicular: _______________________ Perpendicular: _______________________ 29. y 28. y = 4x – 7 IX. Determine whether the following ordered pair is a solution to the given inequality. a. (-4, -3) y < 2x + 8 ________ b. (-2, 6) y > -3x +8 ________ c. (5, 2) 4x – 3y ≤ 14 ________ IX. Graph the following linear inequalities: 30. y > 3x - 1 31. 32. 33. y < -x + 4