Math Problems: Slopes, Equations & Graphs

1. Question 1 Find the slope of the line that passes through each pair of points. • (7, 5), (1, 1) • (0, 6), (3, 9) • (2, 1)(1, 3)

2. Question 2 Find the slope of the line that passes through each pair of points. • (8, 2), (4, 3) • (1, 3), (6, 4) • (5, 2), (5, 3)

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.

4. Question 4 Write an equation of the line that passes through the given point and has the given slope. • (4, 5); m = - • (2, 3); m =3 • (6, 7); m = 0

5. Question 5 Write an equation in slope-intercept form of the line that passes through the points (4, 6) and (4, 2).

6. Question 6 What is an equation of the line in point-slope form that passes through the point (4, 1) and has slope 5?

7. 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.

8. Question 8 Find the slope and y-intercept of the graph of each equation. • y = − 2x − 7 • y = ½ x + 3

9. 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. • y = 2 when x = 8 • y = 10 when x = 5

10. Question 10 Write an equation of a line that passes through (−1, 1). (This has many answers)

11. Answers