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Question 537833: write the equation of the line that is parallel to the graph of y=-4x-9 and whose y-intercept is 3
Found 2 solutions by rfer, solver91311:
Answer by rfer(16322)   (Show Source):
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
Parallel lines have equal slopes, so determine the slope of the given line by inspection since the equation is in slope-intercept form and then use the slope-intercept form to write an equation of the desired line.
Two things. No line can have a  -intercept (or  -intercept for that matter) that is simply a number. An intercept is a point and a point is described by an ordered pair (or triple or  -tuple depending on the number of dimensions you are in). Hence it is incorrect to say that the -intercept is 3. Correctly stated, the -intercept is ) ; the -coordinate of the -intercept is 3.
The slope-intercept form of an equation is  where  is the slope and  is the -coordinate of the -intercept. Just plug in the numbers and you are done.
Second thing: Note that you cannot write "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  .
John
My calculator said it, I believe it, that settles it
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