College Math Placement Test Coordinate Geometry 1 — Questions and Answers
Question 1: What is the distance between the points (1, 2) and (4, 6)?
- 3
- 5 (Correct answer)
- 7
- 4
Correct answer: 5
Using the distance formula: √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5.
Question 2: What is the midpoint of the segment with endpoints (2, 4) and (8, 10)?
- (5, 7) (Correct answer)
- (6, 7)
- (5, 6)
- (6, 6)
Correct answer: (5, 7)
Midpoint = ((2+8)/2, (4+10)/2) = (5, 7).
Question 3: What is the slope of the line passing through (3, 1) and (7, 9)?
- 1
- 3
- 2 (Correct answer)
- 4
Correct answer: 2
Slope = (9−1)/(7−3) = 8/4 = 2.
Question 4: What is the slope of the line y = −4x + 7?
- 7
- −4 (Correct answer)
- 4
- −7
Correct answer: −4
In slope-intercept form y = mx + b, the slope m is the coefficient of x, which is −4.
Question 5: What is the y-intercept of the line 3x + 2y = 12?
- 4
- 3
- 6 (Correct answer)
- 2
Correct answer: 6
Set x = 0: 2y = 12, so y = 6; the y-intercept is 6.
Question 6: In which quadrant does the point (−5, 3) lie?
- Quadrant I
- Quadrant II (Correct answer)
- Quadrant III
- Quadrant IV
Correct answer: Quadrant II
A negative x-value and positive y-value places the point in Quadrant II.
Question 7: What is the equation of the line with slope 3 passing through the point (1, 2)?
- y = 3x + 1
- y = 3x − 1 (Correct answer)
- y = 3x + 2
- y = 3x − 2
Correct answer: y = 3x − 1
Using point-slope: y − 2 = 3(x − 1) → y = 3x − 3 + 2 = 3x − 1.
College Math Placement Test Coordinate Geometry 1
What is the distance between the points (1, 2) and (4, 6)?