GRE Plane and Coordinate Geometry 2

Question 1

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

Accepted Answer

5

Answer

Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5.

Question 2

What is the midpoint of the segment joining (−2, 3) and (6, −1)?

Accepted Answer

(2, 1)

Answer

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

Question 3

What is the slope of the line through (0, −3) and (2, 5)?

Accepted Answer

4

Answer

Slope = (5−(−3))/(2−0) = 8/2 = 4.

Question 4

A line has equation y = −2x + 7. What is its y-intercept?

Accepted Answer

7

Answer

In y = mx + b, b = 7 is the y-intercept.

Question 5

Two lines are perpendicular. One has slope 3. What is the slope of the other?

Accepted Answer

−1/3

Answer

Perpendicular slopes are negative reciprocals, so −1/3.

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