College Math Placement Test Coordinate Geometry 2

Question 1

Which pair of lines is parallel?

Accepted Answer

y = 3x + 2 and y = 3x − 5

Answer

Parallel lines have equal slopes; both y = 3x + 2 and y = 3x − 5 have slope 3.

Question 2

Which pair of lines is perpendicular?

Accepted Answer

y = 4x − 1 and y = −¼x + 2

Answer

Perpendicular lines have slopes that are negative reciprocals; 4 × (−¼) = −1.

Question 3

What is the x-intercept of the line y = 3x − 9?

Accepted Answer

x = 3

Answer

Set y = 0: 0 = 3x − 9, so 3x = 9 and x = 3.

Question 4

What is the distance from the origin to the point (5, 12)?

Accepted Answer

13

Answer

Distance = √(5² + 12²) = √(25 + 144) = √169 = 13.

Question 5

What is the midpoint of the segment from (−4, 3) to (6, −1)?

Accepted Answer

(1, 1)

Answer

Midpoint = ((−4+6)/2, (3+(−1))/2) = (2/2, 2/2) = (1, 1).

College Math Placement Test Practice Test