Question | Answer |
3. Find the x- and y-intercepts and then graph each equation:
4x - 36 =12 | 3. (3,0); (0,-4) |
4. Find the x- and y-intercepts and then graph each equation:
5x+ 76 = 28 | 4. (28/5,0); (0,4) |
5. Find the x- and y-intercepts and then graph each equation:
2x + 56 = 20 | 5. (10,0); (0,4) |
6. Find the x- and y-intercepts and then graph each equation:
x - 4y + 8 | 6. (8,0); (0,-2) |
9. Find the slope of each line:
Thru (-1,2) and (4,-5) | 9. -7/5 |
10. Find the slope of each line:
Thru (0,3) and (-2, 4) | 10. -1/2 |
11. Find the slope of each line:
y = 2x + 3 | 11. 2 |
12. Find the slope of each line:
3x - 46 = 5 | 12, 3/4 |
13. Find the slope of each line:
x = 5 | 13. undefined |
14. Find the slope of each line:
Parallel to 3y = 2x = 5 | 14. 2/3 |
15. Find the slope of each line:
Perpendicular to 3x - y = 4 | 15. -1/3 |
16. Find the slope of each line:
Thru (-1,5) and (-1, -4) | 16. undefined |
17. Find the slope of each line:
Picture of Graph | 17. -1/3 |
18. Find the slope of each line:
Picture of Graph | 18. -1 |
19. Tell Whether each line has Positive, negative, 0, or undefined slope:
Picture of Graph | 19. positive |
20. Tell Whether each line has Positive, negative, 0, or undefined slope:
Picture of Graph | 20. negative |
21. Tell Whether each line has Positive, negative, 0, or undefined slope:
Picture of Graph | 21. undefined |
22. Tell Whether each line has Positive, negative, 0, or undefined slope:
Picture of Graph | 22. 0 |
25. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
Slope -1/3; y-int (0,-1) | 25. (a) y = -1/3x -1
(b) x + 3y = -3 |
26. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
Slope 0; y-int (0, -2) | 26. (a) y = -2
(b) y = -2 |
27. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
Slope -4/3; thru (2,7) | 27. (a) y = -4/3x + 29/3
(b) 4x + 3y = 29 |
28. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
Slope 3; thru (-1,4) | 28. (a) y = 3x + 7
(b) 3x - y = -7 |
29. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
Vertical; thru (2,5) | 29. (a) not possible
(b) x - 2 |
30. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
Thru (2,-5) and (1,4) | 30. (a) y = -9x + 13
(b) 9x + y =13 |
31. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
Thru (-3,-1) and (2,6) | 31. (a) y = 7/5x + 16/5
(b) 7x - 5y = -16 |
32. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
The line pictured in Exercise 18 | 32. (a) y = -x + 2
(b) x + y = 2 |
33. Find an equation for each line.
(a) Write the equation in slope-intercept form
(b) Write the equation in standard form
Parallel to 4x - y = 3 and thru (7,-1) | 33. (a) y = 4x -29
(b) 4x - y = 29 |
37. Graph the solution set of each inequality
3x - 26 <_ 12 | 37. see p.A-9 |
38. Graph the solution set of each inequality
58 - y > 6 | 38. see p.A-9 |
39. Graph the solution set of each inequality
2x + y <_ 1 and x>_ 2y | 39. see p.A-9 |
2.1 Solve each equation
1. -(8 + 3x) + 5 = 2x + 6 | 2.1
1. {-9/5} |
2.1 Solve each equation
2. -3/4x = -12 | 2.1
2. {16} |
2.1 Solve each equation
3. 3x + 1 /3 - x - 1 /4 = 0 | 2.1
3. {-7/5} |
2.1 Solve each equation
4. 4(2x - 3) = 6(x - 1) + 4x | 2.1
4. 0 |
2.1 Solve each equation.
Then tell whether the equation is conditional, an identity, or a contradiction
5. 7x - 3(2x - 5) + 5 + 3x = 4x + 20 | 2.1
5. {all real numbers}; identity |
2.1 Solve each equation.
Then tell whether the equation is conditional, an identity, or a contradiction
6. 8x - 4x - (x - 1) + 3x - (4 - x) = -(x +5) -5 | 2.1
6. 0; contradiction |
7. -2x + 6(x-1) + 3x - (4 - x) = -(x + 5) - 5 | 2.1
7. {0}; conditional |