Question 1135207
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My math teacher has asked us this one complex question for points, just for fun, but it counts for points. Can someone help? I'm so stressed out! 
Consider an equation of a line written in standard form: 4x - 2y = 8. Also consider a point (4, 2) that is not on that line.
(a) Find the equation of the line that is parallel to 4x - 2y = 8 and passes through the point ( 4, 2).
Write the equation is all four forms: slope-intercept, point-slope, standard, and two-point forms.
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The parallel line will have the same slope as the given line, and this also means that as given in the standard form equation, the left member will be the same.  The right-member will be different.


{{{4x-2y=C}}}
{{{4x-2y=4*4-2*2}}}
{{{4x-2y=12}}}
but this can also be simplified, multiplying the two members by  {{{1/2}}}:
{{{highlight(2x-y=6)}}}---------standard form.


Solving for y:
{{{highlight(y=2x-6)}}}--------slope-intercept form; and note, the slope is {{{2}}}.



{{{highlight(y-2=2(x-4))}}}----------the point-slope form equation; which comes directly from the formula for slope of a line through two points.