WGU C957 APPLIED ALGEBRA OA EXAM 200 QUESTIONS AND ANSWERS WITH RATIONALES LATEST UPDATE 2026

WGU C957 APPLIED ALGEBRA OA EXAM 200
QUESTIONS AND ANSWERS WITH RATIONALES
LATEST UPDATE 2026

1. What is the slope-intercept form of a linear equation?
A) y = mx² + 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

1

,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) = = 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


2

,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

3

, Rationale: Slope m = (11 - 5) / (4 - 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.


11. What is the slope of a vertical line?
A) 0
B) 1
C) undefined
D) -1
Correct Answer: C
Rationale: A vertical line has constant x-value, so the change in x is 0, making
slope undefined (division by zero).


12. What is the equation of a horizontal line passing through (3, 5)?
A) x = 3
B) y = 5
C) y = 3x + 5
D) x = 5


4