Question 428573
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What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line 
whose equation is 4x + y - 2 = 0?
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        It can be solved in much more efficient way than @mananth does it in his post.



<pre>
The given line equation is 4x + y - 2 = 0.

It is the same as

    4x + y = 2.    (1)


Any parallel line has the form

    4x + y = c      (2)

with the same form '4x + y' in the left side and some constant 'c' in the right side.


To find 'c', we substitute coordinates of the given point (4,-3) into equation (2).
We get 

    4*4 + (-3) = 16 - 3 = 13 = c.


Thus the sough equation is

    4x + y = 13.


It is the "standard form" line equation.



<U>ANSWER</U>.  The "standard form" line equation is  4x + y = 13.
</pre>

Solved.


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<H3>Two post-solution notices</H3>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(1) &nbsp;&nbsp;Doing this way, &nbsp;you should not worry about the slope.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2) &nbsp;&nbsp;The final equation in the @mananth post is &nbsp;NOT &nbsp;a standard form.