WGU C957 APPLIED ALGEBRA OA EXAM
QUESTIONS COMPLETE WITH 100% VERIFIED
ANSWERS AND WORKING
1. What is the slope-intercept form of a linear equation?
A) 𝑦 = 𝑚𝑥 2 + 𝑏
B) 𝑦 = 𝑚𝑥 + 𝑏
C) 𝑦 = 𝑎𝑥 + 𝑏
D) 𝑦 = 𝑚(𝑥 − ℎ) + 𝑘
Correct Answer: B
Rationale: Slope-intercept form is 𝑦 = 𝑚𝑥 + 𝑏, where 𝑚 is the slope
and 𝑏 is the y-intercept. This is the standard form for representing linear
equations.
2. In the equation 𝑦 = 3𝑥 + 5, what is the slope?
A) 3
B) 5
C) -3
D) -5
Correct Answer: A
Rationale: In slope-intercept form 𝑦 = 𝑚𝑥 + 𝑏, the coefficient of 𝑥 is
the slope 𝑚. Here, 𝑚 = 3.
,3. In the equation 𝑦 = −2𝑥 + 7, what is the y-intercept?
A) -2
B) 2
C) 7
D) -7
Correct Answer: C
Rationale: In 𝑦 = 𝑚𝑥 + 𝑏, the constant term 𝑏 is the 𝑦-intercept.
Here, 𝑏 = 7.
4. What is the slope of the line passing through the points (2, 3) and
(5, 9)?
A) 2
B) 3
C) 4
D) 6
Correct Answer: A
Rationale: Slope 𝑚 = (𝑦2 − 𝑦1)/(𝑥2 − 𝑥1) = (9 − 3)/(5 − 2) =
6/3 = 2.
5. What is the 𝑥-intercept of the line 𝑦 = 2𝑥 − 6?
A) -3
B) -6
C) 3
D) 6
,Correct Answer: C
Rationale: Set 𝑦 = 0: 0 = 2𝑥 − 6 → 2𝑥 = 6 → 𝑥 = 3. The 𝑥-intercept
is (3, 0).
6. What is the 𝑥-intercept of the line 𝑦 = −3𝑥 + 9?
A) -3
B) -9
C) 3
D) 9
Correct Answer: C
Rationale: Set 𝑦 = 0: 0 = −3𝑥 + 9 → 3𝑥 = 9 → 𝑥 = 3.
7. What is the y-intercept of the line 2𝑥 + 3𝑦 = 12?
A) 2
B) 3
C) 4
D) 6
Correct Answer: C
Rationale: Convert to slope-intercept: 3𝑦 = −2𝑥 + 12 → 𝑦 =
(−2/3)𝑥 + 4. The y-intercept is 4.
8. A line has slope 3 and passes through (1, 2). What is its equation?
A) 𝑦 = 3𝑥 − 1
B) 𝑦 = 3𝑥 + 1
, C) 𝑦 = 3𝑥 − 5
D) 𝑦 = 3𝑥 + 5
Correct Answer: A
Rationale: Using point-slope form: 𝑦 − 2 = 3(𝑥 − 1) → 𝑦 − 2 = 3𝑥 −
3 → 𝑦 = 3𝑥 − 1.
9. A line passes through (2, 5) and (4, 11). What is its equation?
A) 𝑦 = 3𝑥 − 1
B) 𝑦 = 3𝑥 + 1
C) 𝑦 = 2𝑥 + 1
D) 𝑦 = 2𝑥 + 3
Correct Answer: A
Rationale: Slope 𝑚 = (11 − 5)/(4 − 2) = 6/2 = 3. Using point-
slope: 𝑦 − 5 = 3(𝑥 − 2) → 𝑦 = 3𝑥 − 1.
10. What is the slope of a horizontal line?
A) 0
B) 1
C) undefined
D) -1
Correct Answer: A
Rationale: A horizontal line has constant y-value, so the change in y is 0,
making slope 0.
QUESTIONS COMPLETE WITH 100% VERIFIED
ANSWERS AND WORKING
1. What is the slope-intercept form of a linear equation?
A) 𝑦 = 𝑚𝑥 2 + 𝑏
B) 𝑦 = 𝑚𝑥 + 𝑏
C) 𝑦 = 𝑎𝑥 + 𝑏
D) 𝑦 = 𝑚(𝑥 − ℎ) + 𝑘
Correct Answer: B
Rationale: Slope-intercept form is 𝑦 = 𝑚𝑥 + 𝑏, where 𝑚 is the slope
and 𝑏 is the y-intercept. This is the standard form for representing linear
equations.
2. In the equation 𝑦 = 3𝑥 + 5, what is the slope?
A) 3
B) 5
C) -3
D) -5
Correct Answer: A
Rationale: In slope-intercept form 𝑦 = 𝑚𝑥 + 𝑏, the coefficient of 𝑥 is
the slope 𝑚. Here, 𝑚 = 3.
,3. In the equation 𝑦 = −2𝑥 + 7, what is the y-intercept?
A) -2
B) 2
C) 7
D) -7
Correct Answer: C
Rationale: In 𝑦 = 𝑚𝑥 + 𝑏, the constant term 𝑏 is the 𝑦-intercept.
Here, 𝑏 = 7.
4. What is the slope of the line passing through the points (2, 3) and
(5, 9)?
A) 2
B) 3
C) 4
D) 6
Correct Answer: A
Rationale: Slope 𝑚 = (𝑦2 − 𝑦1)/(𝑥2 − 𝑥1) = (9 − 3)/(5 − 2) =
6/3 = 2.
5. What is the 𝑥-intercept of the line 𝑦 = 2𝑥 − 6?
A) -3
B) -6
C) 3
D) 6
,Correct Answer: C
Rationale: Set 𝑦 = 0: 0 = 2𝑥 − 6 → 2𝑥 = 6 → 𝑥 = 3. The 𝑥-intercept
is (3, 0).
6. What is the 𝑥-intercept of the line 𝑦 = −3𝑥 + 9?
A) -3
B) -9
C) 3
D) 9
Correct Answer: C
Rationale: Set 𝑦 = 0: 0 = −3𝑥 + 9 → 3𝑥 = 9 → 𝑥 = 3.
7. What is the y-intercept of the line 2𝑥 + 3𝑦 = 12?
A) 2
B) 3
C) 4
D) 6
Correct Answer: C
Rationale: Convert to slope-intercept: 3𝑦 = −2𝑥 + 12 → 𝑦 =
(−2/3)𝑥 + 4. The y-intercept is 4.
8. A line has slope 3 and passes through (1, 2). What is its equation?
A) 𝑦 = 3𝑥 − 1
B) 𝑦 = 3𝑥 + 1
, C) 𝑦 = 3𝑥 − 5
D) 𝑦 = 3𝑥 + 5
Correct Answer: A
Rationale: Using point-slope form: 𝑦 − 2 = 3(𝑥 − 1) → 𝑦 − 2 = 3𝑥 −
3 → 𝑦 = 3𝑥 − 1.
9. A line passes through (2, 5) and (4, 11). What is its equation?
A) 𝑦 = 3𝑥 − 1
B) 𝑦 = 3𝑥 + 1
C) 𝑦 = 2𝑥 + 1
D) 𝑦 = 2𝑥 + 3
Correct Answer: A
Rationale: Slope 𝑚 = (11 − 5)/(4 − 2) = 6/2 = 3. Using point-
slope: 𝑦 − 5 = 3(𝑥 − 2) → 𝑦 = 3𝑥 − 1.
10. What is the slope of a horizontal line?
A) 0
B) 1
C) undefined
D) -1
Correct Answer: A
Rationale: A horizontal line has constant y-value, so the change in y is 0,
making slope 0.
