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Algebra 2 Lesson 2.2 – Worksheet (Day 1) Name ______________________________________ Period ______ Find the slope of the line that passes through the given points. Write your answer in simplest form. 1. 2. 3. 4. (−10, −12) and (2, −6) 5. (−9, 8) and (−9, 2) 6. (−3, 4) and (3, −5) Graph the equation using slope-intercept form. 7. y 2 x7 5 10. y = −5 8. 3x + y = −5 9. 8x – 2y = 14 11. 4y + 12 = 10x 12. 3x – 6y = 2 Graph the line using intercepts. DO NOT SOLVE FOR Y! Must list the ordered pairs. 13. x – 4y = –8 14. 3x + 6y = –9 15. 5x – 10y = –30 16. The school band is selling sweatshirts and T-shirts to raise money. The goal is to raise $1200. Sweatshirts sell for a profit of $2.50 each and T-shirts sell for $1.50 each. Write an equation and graph it to represent the numbers of sweatshirts and T-shirts the band can sell to reach their goal. 17. To place a color advertisement in a newspaper one must pay a $20 fee. It costs an additional $7 for each line in the ad. Write an equation and graph it to represent the cost C for an advertisement with n lines. 18. You borrow money from your parents to buy a $1200 stereo. You pay them a $200 deposit and then make weekly payments of $40. Let A be the amount you still owe your parents and t be the number of weeks. Write an equation to model the situation. Graph the model. How long will it take to pay off your debt? Write the equation of the line in slope-intercept form with the following characteristics. 19. through (9, 3); m = 23 20. through (5, 2); m = –3 21. through (3, 4); m = 0 Write the equation of the line in slope intercept form with the following characteristics. 22. through (4, 8) and (3, 5) 23. through (–12, 2) and (2, –5) 24. through (3, 5) and (3, 9) Write the equation of the line in slope-intercept form with the following characteristics. 25. through (1, –1); perpendicular 26. through (3, 2); perpendicular 27. through (8, –4); to y 1 x6 2 to y = 4x + 5 perpendicular to x = 3 Write the equation of the line in slope-intercept form with the following characteristics 28. through (4, 5); parallel to 29. Through (–7, –4); 30. Through (–4, 6); parallel 1 y x6 2 parallel to x = 6 to y 1 x5 8