Question 807836
By saying the unknown line is parallel to the
line {{{ y = 2x + 3 }}} you are saying that it has 
the same slope.
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When the form of the equation is {{{ y = m*x + b }}}
as in this case, slope = {{{ m }}}, so slope = {{{ 2 }}}
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So far,  you know your unknown equation looks like
{{{ y = 2x + b }}}
And, also it goes through the point (x,y) = (-4,1)
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Now I can plug in the x and y value of this point
{{{ 1 = 2*(-4) + b }}}
{{{ 1 = -8 + b }}}
{{{ b = 9 }}}
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So, the equation you are looking for is:
{{{ y = 2x + 9 }}}
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check:
does it go through (-4,1) ?
{{{ 1 = 2*(-4) + 9 }}}
{{{ 1 = -8 + 9 }}}
{{{ 1 = 1 }}}
OK
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Here's a plot of both lines:
{{{ graph( 400, 400, -10, 10, -10, 10, 2x + 3, 2x + 9 ) }}}