Graph each of the following. Show work if the equations are not in slope-intercept form.
1. y = 2x – 5
2. y = -3/4x – 4
3. y = 2/3x + 3
4. y = 4
5. x = -2
6. 4x – 2y = 8
7. -3x + y = -2
8. 5x + 2y = 8
9. 3y = -6x + 9
Find the x-intercept and the y-intercept of the graph of the equation.
10. 4 x  12 y  3
Determine whether the following are parallel or perpendicular. Briefly explain why.
11. y = 2x + 4
12. y = -6x - 3
y = (-1/2)x -3
y = -6x + 5
13. y = (4/5)x + 7
14. y = (1/8)x – 9
y = -(4/5)x – 2
y = -(1/8)x + 3
15. 4x + 2y = 14
16. –2x + 3y = 12
-6x + 12y = 36
3x + 2y = -8
Write the equation of the line that is PARALLEL to the given line, and passes through the given point.
Show all work!
17. y = (2/3)x - 6 (3, -1)
18. y = 4x + 2 (1, 7)
19. y = 3 (4, -6)
20. x = -4 (2, -7)
Write the equation of the line that is PERPENDICULAR to the given line, and passes through the given
point. Show all work!
21. y = (-1/4)x + 3 (1, 1)
22. y = 2x + 4 (4, -3)
23. x = 3 (-2, 5)
24. y = -4 (6, 2)
25. Find the slope and y-intercept of the line below.
26. Find the slope of the line containing (-2, 4) and (3, -1).
27. Find the slope of the line containing (4, 3) and (2, 3).
Write an equation in slope intercept form using the given information.
28.
29.
30.
Write an equation in point slope form using the given information.
31.
32.
33.
Write an equation in standard form using the given information.
34.
35.
36.
37. Brishon is saving money for a new pair of shoes that cost $160. He starts with $55 and is going to save $15
each week. How many weeks will it take Brishon to save enough money to buy the shoes?
Find the x and y-intercepts of the graph of the equations below. SHOW ALL WORK, and label which is which!
38. y  7 x  3
39. 2 x  5 y  20
Find the slope of the line that passes through the points.
40. (-3, 4) and (6, -2)
41. (5,1) and (5,7)
42. Parallel lines have ________________________ slopes.
43. Perpendicular lines have _______________________ slopes.
44. Are the following lines parallel, perpendicular, or neither?
1
y  x5
2 y  6 x  8
3
45. Peter is building a clubhouse out of plywood. After it is built, he wants to decorate the clubhouse with
posters of his favorite athletes.
a.) Peter knows that the length of the clubhouse floor will be 9 feet. He wants the area of the floor to be
54 square feet. Write an equation that Peter can use to find the width of the floor.
b.) Solve the equation that you wrote in part (a).
c.) Peter has $50 to spend on posters for the clubhouse. Each poster costs $5.
Write a rule for the money that Peter has left (y) as a function of the number of posters (x) that he
buys.
d.) Find the intercepts of the function that you wrote in part (c). What do the intercepts mean in this
situation?
Write the equation of each line below.
46.
47.
Use the graph below for questions 48 - 49.
Number of calories from
protein
Protein Calories
14
12
10
8
6
4
2
0
0
1
2
3
4
Number of grams of protein
48. Find the slope.
Explain what the slope means (in relation to protein and calories).
49. Find the y-intercept.
Explain what the y-intercept means (in relation to protein and calories).
50. What are the two rules that must be used when you are writing an equation in standard form?