document.write( "Question 299962: What is the slope intercept form of a line that passes through point (0,2) and is parallel to the graph of y=-3x-6? \n" ); document.write( "

Algebra.Com's Answer #215375 by josmiceli(19441) $\"\"$ $\"About$

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The equation $\"y+=+-3x+-+6\"$ is in the form
\n" ); document.write( " $\"y+=+mx+%2B+b\"$ where $\"m\"$ is the slope, so
\n" ); document.write( " $\"m+=+-3\"$
\n" ); document.write( "Any line parallel to this line will also have $\"m+=+-3\"$
\n" ); document.write( "I can write this equation as
\n" ); document.write( " $\"y+=+-3x+%2B+b\"$
\n" ); document.write( "To find $\"b\"$ , I just plug in the (x,y) = (0,2)
\n" ); document.write( " $\"2+=+-3%2A0+%2B+b\"$
\n" ); document.write( " $\"b+=+2\"$
\n" ); document.write( "So, the equation is
\n" ); document.write( " $\"y+=+-3x+%2B+2\"$ \n" ); document.write( "

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