Question

Which of the following lines are parallel to 2Y - 3X = 4?

A. Y = 2/3 X + 4
B. Y = 6/4 X
C. 2Y=8-3X

Answer 1

B. Y = 6/4 X

Explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

Thus,

answer choice B. Y = 6/4 X is correct.

Hope this helps :)