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)

We are given the point so we all we have to do is find the slope. From 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 $(y–2)=3(x–1)$.