150k views
3 votes
Choose all the lines that would be parallel to the line -2x + 3y = 12. Select two correct answers.

Options:
a) y = (2/3)x - 1
b) -2x + y = 12
c) 3x - 2y = -2
d) 3x + 2y = 11

1 Answer

1 vote

Final answer:

Option a) y = (2/3)x - 1 is parallel to the line -2x + 3y = 12 because it has the same slope of 2/3. The other options do not have the same slope and therefore are not parallel.

Step-by-step explanation:

To determine which lines would be parallel to the given line -2x + 3y = 12, we first need to express this line in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Rewriting the equation, we have 3y = 2x + 12 or y = (2/3)x + 4, which reveals that the slope of the given line is 2/3.

Looking at the options provided:

  • Option a) y = (2/3)x - 1 has the same slope, which means it is parallel to the given line.
  • Options b), c), and d) do not have a slope of 2/3 and therefore are not parallel to the given line.

Thus, the lines that would be parallel to the line -2x + 3y = 12 are like option a) y = (2/3)x - 1, as it is the only one with a matching slope.

User Lokkio
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories