document.write( "Question 537833: write the equation of the line that is parallel to the graph of y=-4x-9 and whose y-intercept is 3 \n" ); document.write( "

Algebra.Com's Answer #353014 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "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. \r
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\n" ); document.write( "\n" ); document.write( "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

.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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