Question

Which two lines are parallel?

Sy-3x-5
Sy-1-3x
3y-2x-1

A) I and II.
B) I and III.
C) II and III.
D) No, two of the lines are parallel.

Answer 1

To determine which lines are parallel, we compare their slopes. Lines I and II both have a slope of 3/5, indicating they are parallel. Hence, the correct answer is A) I and II.

Step-by-step explanation:

The question asks which two lines are parallel. Two lines are parallel if they have the same slope. Given the equations:

1. Sy - 3x - 5
2. Sy - 1 - 3x
3. 3y - 2x - 1

Firstly, the standard form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. By rearranging the given equations into standard form, we have:

1. y = (3/5)x + 1
2. y = (3/5)x + 1/5
3. y = (2/3)x + 1/3

Comparing the slopes:

• The slope of equations I and II is 3/5.
• The slope of equation III is 2/3.

Therefore, lines I and II have the same slope and are parallel. The correct answer is A) I and II.