Question

A line is parallel to $2x+y=3$. It passes through the point (0,1). What is its equation?

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

Answer 1

The correct option is B $y=-2x+1$

We need to find the line which is parallel to $2x+y=3$ and passes through the point (0,1).

We first need to write $2x+y=3$ in standard form.
$2x+y=3$
$y=-2x+3$
The above line has slope '-2' and y-intercept as '3'.

Any line parallel to the above line has the slope as '-2'.
So, the slope of the required line is '-2' and also it passes through (0,1) this means that its y-intercept is '1'.

Slope intercept form of a line: $y=mx+c$ where 'm' is the slope and 'c' is the y-intercept of the line.

The equation of the required line would be:
$y=-2x+1$