Question 1206273
the equation of a line is 

{{{y=mx+b}}}

if the line is parallel to {{{y=2x - 6}}}, it will have same slope which is {{{m=2}}}

{{{y=2x+b}}}

then find {{{x}}}-intercept of the line  {{{14x + 7y - 14 = 0}}}

let {{{y = 0}}}

{{{14x - 14 =  0}}}

{{{14x  =14  }}}

{{{x =1}}}

it is a point ({{{1}}},{{{0}}})

substitute in {{{y=2x+b}}} and calculate {{{b}}}

{{{0=2*1+b}}}

{{{b=-2}}}

your line is

{{{y=2x-2}}}


{{{drawing( 600, 600, -10, 10, -10, 10,
circle(1,0,.12),locate (1,0.5,p(1,0)),
locate(-3,5,14x + 7y - 14 = 0),locate(5,4,y=2x-6), locate(1,3,y=2x-2),
 graph( 600, 600, -10, 10, -10, 10, 2x-2, 2x-6,2-2x )) }}}