Question 1 Find the slope of the line that passes through each pair of points. a. ( 7, 5), (1, 1) b. (0, 6), ( 3, 9) c. (2, 1)(1, 3)
Question 2 Find the slope of the line that passes through each pair of points. a. (8, 2), (4, 3) b. ( 1, 3), (6, 4) c. (5, 2), ( 5, 3)
Question 3 Shelly has a gift card for her favorite restaurant for $15. She wants to treat a group of her friends to sandwiches at the restaurant. Sandwiches cost $4. 50 each. Write an equation that models the total money Shelly owes if she buys x sandwiches after using the gift card.
Question 4 �
Question 5 Write an equation in slope-intercept form of the line that passes through the points (4, 6) and ( 4, 2).
Question 6 What is an equation of the line in point-slope form that passes through the point (4, 1) and has slope 5?
Question 7 Jeremy’s pay started at $500 per week. Every year his pay will increase by $25 per week. Write an equation that models his weekly pay after x years.
Question 8 Find the slope and y-intercept of the graph of each equation. a. y = − 2 x − 7 b. y = ½ x + 3
Question 9 Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 3. a. y = 2 when x = 8 b. y = 10 when x = 5
Question 10 Write an equation of a line that passes through (− 1, 1). (This has many answers)
Answers 1 a. -1/2 b. -1 c. -4 2 a. ¼ b. 1 c. -1/10 3. y = 4. 5 x – 15 5. y = 1/2 x + 4 6. y + 1 = -5(x – 4) 7. y = 25 x + 500 8 a. m = -2, b = -7 b. m = ½, b = 3 9 a. y = 1/4 x; 9 b. y = 2 x; 3/4 6 10. There are many answers to this question. An example would be y = -3 x – 2.