What is the equation of the straight line parallel to 2x - 3y = 1 and

1.	What is the equation of the straight line parallel to 2x - 3y = 1 and passes through the point (-3,2)1. 2x - 3y - 1 = 02. 2x - 3y + 12 = 03. 3x - 2y = 14. 2x - 3y + 6 = 0
Answer» Correct Answer - Option 2 : 2x - 3y + 12 = 0 Concept: Equation of a Line Parallel to a Line: Let, ax + by + c = 0 (b ≠ 0) be the equation of the given straight line. So, the equation of a line parallel to a given line is ax + by + k = 0 Where k is constant. The slopes of parallel lines are equal. Calculation: Hare, equation of the straight line parallel to 2x - 3y = 1 Let, equation of required line be 2x - 3y + k = 0 Now, this line passing through (-3, 2) ∴2(-3) - 3(2) + k = 0 ⇒ -6 - 6 + k = 0 ⇒ k = 12 ∴ Equation of required line 2x - 3y + 12 = 0 Hence, option (2) is correct.

What is the equation of the straight line parallel to 2x - 3y = 1 and passes through the point (-3,2)1. 2x - 3y - 1 = 02. 2x - 3y + 12 = 03. 3x - 2y = 14. 2x - 3y + 6 = 0

Answer» Correct Answer - Option 2 : 2x - 3y + 12 = 0

Concept:

Equation of a Line Parallel to a Line:

Let, ax + by + c = 0 (b ≠ 0) be the equation of the given straight line. So, the equation of a line parallel to a given line is ax + by + k = 0

Where k is constant.

The slopes of parallel lines are equal.

Calculation:

Hare, equation of the straight line parallel to 2x - 3y = 1

Let, equation of required line be 2x - 3y + k = 0

Now, this line passing through (-3, 2)

∴2(-3) - 3(2) + k = 0

⇒ -6 - 6 + k = 0

⇒ k = 12

∴ Equation of required line 2x - 3y + 12 = 0

Hence, option (2) is correct.