Question

What can be said about the lines, $y=2-2x$ and $y=5-2x$?

• A. Parallel
• B. Perpendicular
• C. Same $y-$intercepts

Answer 1

The correct option is A Parallel

$\underset{–}{ConceptInvolved:}$
$y=m_{1}x+b_1$ and $y=m_{2}x+b_2$

The above two lines are parallel if $m_1=m_2$.

The above two lines are perpendicular if $m_1\times m_2=-1$.

The above two lines have same $y-$intercepts if $b_1=b_2$.

$\underset{–}{Method:}$

Let's convert the given lines to the standard form: $y=mx+b$.

$y=2-2x$
$y=-2x+2$
The slope of the above line is '-2' and $y-$intercept is '2'.

$y=5-2x$
$y=-2x+5$
The slope of the above line is '-2' and $y-$intercept is '5'.

The above two lines have the same slope of '-2'. The given two lines are parallel.