Multiple choice general knowledge math & puzzles

What is the equation of the line that is parallel to the line 3x + 7y = 10 and passes through the point (4, 8)?

  1. 7x – 3y = 46

  2. 3x + 7y = 68

  3. 3x + 7y = 44

  4. 7x - 3y =40

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Parallel lines have the same coefficients for x and y. The given line 3x + 7y = 10 has slope -3/7. Substituting point (4, 8) into 3x + 7y = c gives c = 3(4) + 7(8) = 12 + 56 = 68. The parallel line through (4, 8) is 3x + 7y = 68.