Question

Which line is parallel to y=x-2?
(a) y=2x+1
(b) 2y=2x-6
(c) 2y=x+7
(d) y=3x+1

Answer 1

Step-by-step explanation:

Equation of line parallel to y=x-2 is of the form y=x+k.

If we look at option 2, 2y=2x-6

So, y=x-3.

This is of the form y=x+k where k=-3.

So, this line is parallel to y=x-2.

So, option 2 is the right answer.

Thank you

Answer 2

Concept

Parallel lines

Let $y=m_1x+c ...(1)$

and $y=m_2x+d...(2)$

Both lines are parallel if $m_1=m_2$.

Given

The line y=x-2.

Find

We have to find the parallel to the given line.

Solution

The given equation is y=x-2.

Compare this equation with y=mx+c

then the slope of the equation is m=1.

Now consider line 2y=2x-6.

Simplify y=x-3

This line slope is m=1.

then the given line is parallel to y=x-2.

Hence the option (b) 2y=2x-6 is correct option.