College Math Placement Test Coordinate Geometry

Question 1

What is the distance between the points (1, 2) and (4, 6)?

Accepted Answer

5

Answer

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)?

Accepted Answer

(5, 7)

Answer

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)?

Accepted Answer

2

Answer

Slope = (9−1)/(7−3) = 8/4 = 2.

Question 4

What is the slope of the line y = −4x + 7?

Accepted Answer

−4

Answer

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?

Accepted Answer

6

Answer

Set x = 0: 2y = 12, so y = 6; the y-intercept is 6.

College Math Placement Test Practice Test