Question

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

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

Answer 1

The correct option is C

$y-2=3(x-1)$

From the equation $y=3x-1$, we see that the slope of the line is 3.

[Equation of a line when its slope and y-intercept are known is given by $y=mx+c$, where $m$ is the slope of the line and $c$ is the y-intercept].

We know that if slope($m$) and a point $(x,y)$ of a line are known, then equation of the line is given by $y-y_1=m(x-x_1)$.

Then, we must have, $y-2=3(x-1)$

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