GMAT Quantitative Reasoning - DSQ: Calculating whether lines are parallel

1

You are given two distinct lines, and on the coordinate plane. Are they parallel lines, perpendicular lines, or neither of these?

Statement 1: The absolute value of the slope of Line is 1.

Statement 2: The absolute value of the slope of Line is 1.

2

You are given distinct lines and on the coordinate plane. Are they parallel, perpendicular, or neither?

Statement 1: The product of the slopes of the two lines is .

Statement 2: The slope of Line is .

3

You are given distinct lines and on the coordinate plane. Are they parallel, perpendicular, or neither?

Statement 1: Line has -intercept and line has -intercept .

4

You are given distinct lines and on the coordinate plane. Are they parallel, perpendicular, or neither?

Statement 1: Line has slope 3 and Line has slope $\frac{1}{3}$ .

Statement 2: Both lines have -intercept .

5

You are given two lines. Are they parallel?

Statement 1: The product of their slopes is .

Statement 2: One has positive slope; one has negative slope.

6

You are given distinct lines and on the coordinate plane. Are they parallel, perpendicular, or neither?

Statement 1: Line has slope 3 and Line has slope $-\frac{1}{3}$ .

Statement 2: Line has -intercept and Line has -intercept .

7

One line includes the points and ; a second line includes the points and . If these lines are parallel, what is the value of ?

8

You are given two distinct lines, Line and Line , on the coordinate plane. Neither line is horizontal or vertical. Are they parallel lines, perpendicular lines, or neither of these?

Statement 1: The product of the slopes of the two lines is .

Statement 2: The absolute value of the slope of Line is .

9

You are given distinct lines and on the coordinate plane. Are they parallel, perpendicular, or neither?

Statement 1: Both lines have slope 3.

Statement 2: Line has -intercept and Line has -intercept .

DSQ: Calculating whether lines are parallel

Practice Questions