document.write( "Question 256881: Write the equation of the line L that satisfies the given geometric conditions. L has y-intercept (0, -3) and is parallel to the line with equation y= 2/3x + 1 \n" ); document.write( "

Algebra.Com's Answer #188925 by drk(1908) $\"\"$ $\"About$

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step 1 - solve for y. That is done as
\n" ); document.write( " $\"y+=+%282%2F3%29x+%2B+1\"$
\n" ); document.write( "step 2 - Slope is 2/3
\n" ); document.write( "step 3 - we want the parallel slope, so we use the same number, 2/3.
\n" ); document.write( "step 4- use y =mx + b and our point to get
\n" ); document.write( " $\"y+=+mx+%2B+b\"$
\n" ); document.write( " $\"-3+=+0%2A%282%2F3%29+%2B+b\"$
\n" ); document.write( " $\"-3+=+b\"$
\n" ); document.write( "step 5 - write the answer as
\n" ); document.write( " $\"y+=+%282%2F3%29x++-+3\"$ \n" ); document.write( "

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