Which is an equation of the line parallel to - 2x + y = 6 that contains the
point (0, 2)?

a: -x – 2y = -4
b: -x – 2y = -2
c: -2x+y= -4
d: - 2x + y = 2

D. - 2x + y = 2

Step-by-step explanation:

The equation given is -2x + y = 6

Let us re- write it in slope - intercept form , that is we will make y the subject of the formula.

y = 2x + 6

Two lines are said to be parallel if they have the same slope , the slope of the first equation of line given is 2 , this means the slope of the equation of the line parallel to it is also 2.

Using the formula = to calculate the equation , we have

y - 2 = 2 ( x - 0 )

y - 2 = 2x

Therefore :

-2x + y = 2 is the equation