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

Given equation of line is y = 3x – 1

Now, we find the slope of the above equation.

Since, the above equation is in y = mx + b form

So, m = 3

Now, we find the equation of line passing through the point (1, 2) and parallel to the given line with slope = 3

y – y₁ = m(x – x₁)

⇒ y – 2 = 3(x – 1)

Hence, the correct option is (c)