Question 682300
When an equation is in the form {{{ y = m*x + b }}}
{{{ m }}} = slope of the line
First put the given equation into this form.
{{{ 4x - 2y = 1 }}}
Add {{{ 2y }}} to both sides
{{{ 4x = 2y + 1 }}}
Subtract {{{ 1 }}} from both sides
{{{ 2y = 4x - 1 }}}
Divide both sides by {{{ 2 }}}
{{{ y = 2x - 1/2 }}}
Now you know that {{{ m = 2 }}} for this line
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ANY line that is parallel to this line will have the same slope,
so at this point you have:
{{{ y = 2x + b }}}
All you need to find is {{{ b }}}
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The line goes through the point ( 1,-4)
This is in the format (x,y)
I can now say
{{{ -4 = 2*1 + b }}}
{{{ b = -4 - 2 }}}
{{{ b = -6 }}}
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The solution is {{{ y = 2x - 6 }}}
Here is a plot of both lines:
{{{ graph( 400, 400, -10, 10, -10, 10, 2x - 1/2 , 2x - 6 ) }}}