SOLUTION: what is the equation that passes through (4,2) and is parallel to 2x-3y=-6
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Question 612004: what is the equation that passes through (4,2) and is parallel to 2x-3y=-6
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Since the given equation is in standard form, divide the opposite of the coefficient on 
by the coefficient on 
to obtain the slope of the given line. Since you are looking for a parallel line, the slope of the desired line is equal to the slope of the given line.
The use the point-slope form
 )
where )
are the coordinates of the given point and 
is the slope calculated in the first step. This process will give you AN equation of a parallel to the given equation through the given point. You cannot find THE equation of a line because there is always more than one such equation through a given point with a given slope.
John
My calculator said it, I believe it, that settles it
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