Question

Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is

• A. y + 2 = x + 1
• B. y + 2 = 3(x + 1)
• C. y – 2 = 3(x – 1)
• D. y – 2 = x – 1

Answer 1

The correct option is C y – 2 = 3(x – 1)

In the equation y = 3x – 1 the slope of the line paralle to this line will be 3.
Therefore the required equation which passes through (1, 2) and whose gradient is 3, is (y – 2) = 3(x – 1).