Question

Which equation represents a line which is parallel to the line y = 1/2x+3

Answer 1

Equation of the line is given in the form

y =mx + b

Where

m is the slope

b is the y-intercept

The slope of this line is 1/2.

We know,

parallel lines have equal slope.

Thus, the new line will be of the form:

`y=(1)/(2)x+b`

Checking the equations,

first one would have 2 as slope

second one would have -2 as slope

Re-arranging the 3rd option:

`\begin{gathered} x-2y=2 \\ 2y=x-2 \\ y=(x-2)/(2) \\ y=(1)/(2)x-1 \end{gathered}`

This has the same form we are looking for. Thus,

Correct Answer is

`x-2y=2`