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Question 616676: Find the equation of the line that passes through the points (–4, -1) parallel to 6x-y=6
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
You cannot find "the" equation of any line. You can only write "an" equation of a line. 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  .
First put your given equation into slope intercept form. Make sure that the coefficient on  is reduced to lowest terms if necessary. Then, by inspection of the coefficient on you can determine the slope of the given line.
Parallel lines have equal slopes. Use the point-slope form of an equation of a line, the given point and the slope determined as described to write an equation of your desired line.
 )
where ) are the coordinates of the given point and  is the given/calculated slope.
Follow your instructor's or textbook's instructions as to form of your answer.
John
My calculator said it, I believe it, that settles it
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