1. Given the equation of the line: 2x + 4y = −3
a. Find the x and y intercept.
3
3
Ans: x−int: − , 0 y−int: 0, −
2
4
b. Find the slope of the line.
1
Ans: m = −
2
c. Graph the line:
Ans:
2. Given the equation of the line: 3x − y = 4
a. Find the x and y intercept.
4
Ans: x−int:
, 0 y−int: (0, −4)
3
b. Find the slope of the line.
Ans: m = 3
c. Graph the line.
Ans:
3. Given the equation of the line: y = −x + 3.
a. What is the slope of this line?
Ans: m = −1
b. What is the y−intercept of this line?
Ans: b = 3
4. Given the equation of the line: 2x − y = 5
a. What is the slope of this line?
Ans: m = 2
b. What is the y−intercept of this line?
Ans: b = −5
5. Given the equation of the line: x = −4
a. What is the slope of this line?
Ans: slope is undefined.
b. What is the y−intercept of this line?
Ans: Vertical line, has no y− intercept
6. Given the equation of the line: y = 7
a. What is the slope of this line?
Ans: m = 0
b. What is the y−intercept of this line?
Ans: b = 7
7. Find the equation of the line with slope m = 2 and contains the point (3, −1).
Ans: y = 2x − 7
8. Find the equation of the line that contains the two points (−1, 2) and (1, 4).
Ans: y = x + 3
9. Find the equation of the horizontal line that contains the point (−2, 5).
Ans: y = 5
10. Find the equation of the line with undefined slope and contains the point
(4, −1).
Ans: x = 4
11. Find the equation of the line that passes the point (1, −4) and the origin.
Ans: y = −4x
1
12. Find the equation of the line with slope m = − and y−intercept 5
3
1
Ans: y = − x + 5
3
1
13. Find the equation of the line with slope m = and passes the point (2, −1).
2
Express your answer in standard from.
Ans: x − 2y = 4
14. Find the equation of the line that contains the two points (4, −3) and
(−3, −2).
1
17
Ans: y = − x −
7
7
15. Find the equation of the line that passes the points (−1, −2) and (3, 2)
Ans: y = x − 1
16. Find the equation of the vertical line that contains the point (−2, 4)
Ans: x = −2
17. Find the equation of the line that contains the origin and has slope −2.
Ans: y = −2x
18. Given the equation 3x − 5y = 1. Find the slope and y−intercept of the line,
and graph the line.
1
3
Ans: m = , b = −
5
5
19. Given the equation of the line −x + 4y = 0, find the slope and y−intercept
of the line, and graph the line.
1
Ans: m = , b = 0
4
1
20. Given the equation of the line y = − x, find the slope and y−intecept of the
3
line, and graph the line.
1
Ans: m = − , b = 0
3
21. Given the equation y = 4, find the slope and y−intercept of the line, and
graph the line.
Ans: m = 0, b = 4
22. Given the equation −2y = 6. Find the slope and y−intercept of the line, and
graph the line.
Ans: m = 0, b = −3
23. Given the equation x = 3, find the slope and y−intercept of the line, and
graph the line.
Ans: Slope is undefined. No y−intercept
24. Given the equation 4x = −8, find the slope and y−intercept of the line, and
graph the line.
Ans: Slope is undefined. No y−intercept
25. Find the equation of the x−axis.
Ans: y = 0
26. Find the equation of the y−axis.
Ans: x = 0
27. Which of the following statement(s) is/are true:
I. The slope of a vertical line is 0
II. The slope of a horizontal line is undefined
III. The graph of a line is determined by two points
a. I only
b. I and II only
are all false
Ans: c
c. III only
d. They are all true
e. They