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, 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

$(y–2)=3(x–1)$