Question

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

• A. 3x - y + 1 = 0
• B. 3x - y - 1 = 0
• C. 3x - y = 0
• D. 3x +y + 1 = 0

Answer 1

Answer: (B), (C)

The correct options are
B 3x - y - 1 = 0
C 3x - y = 0

We are given the point, all we have to do is to find the slope.

From the equation $y=3x–1$

the slope of the line parallel to this line will be 3.

Therefore the required equation which passes through (1, 2) and with gradient as 3, is
y – 2 = 3 (x – 1)
y - 2 = 3x - 3
3x - y + 1 = 0