SOLUTION: Write the equation of a line passing through (7,12) and parallel to y=2.
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Question 200615: Write the equation of a line passing through (7,12) and parallel to y=2.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First determine the slope (
) of the line: 
.
Then use the fact that:
to determine the slope of the desired line.
Then use the slope of the desired line (
) and the given point  = \left(7,12\right))
in the point-slope form of the equation of a line to derive the desired equation:
 )
However, please note that you cannot write "the" equation of any line. You can only write "an" equation of a line (or several equations of the line, if that is something you enjoy doing). In the first place, you could just substitute the values in the point-slope form and have an equation of the desired line, or you could solve for 
to put it into slope-intercept form, or you could rearrange it into standard form, namely 
. Furthermore, for a given 
, 
, and 
, 
where 
describes a set of equations with an infinite number of elements, each of which graphs to the same line in 
.
John
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