document.write( "Question 257351: i need to write an equation of the line containing the given point and parallel to given line i do not understand how to express in y=mx+b.
\n" ); document.write( "(2,9,); x+4y=9 \n" ); document.write( "

Algebra.Com's Answer #189273 by dabanfield(803) $\"\"$ $\"About$

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i need to write an equation of the line containing the given point and parallel to given line i do not understand how to express in y=mx+b.
\n" ); document.write( "(2,9,); x+4y=9 \r
\n" ); document.write( "\n" ); document.write( "We need to rewrite the equation x + 4y = 9 in slope-intercept form:\r
\n" ); document.write( "\n" ); document.write( "x + 4y = 9
\n" ); document.write( "4y = -x - 9
\n" ); document.write( "y = (-1/4)*x - 9/4.\r
\n" ); document.write( "\n" ); document.write( "So from this we know that the slope of the line is -1/4. A line parallel to this line will also have a slope of -1/4.\r
\n" ); document.write( "\n" ); document.write( "So the equation of the parallel line is:\r
\n" ); document.write( "\n" ); document.write( "y = (-1/4)*x + b.\r
\n" ); document.write( "\n" ); document.write( "We need to find b. Since the point (2,9) is on our line we know:\r
\n" ); document.write( "\n" ); document.write( "9 = (-1/4)*2 + b
\n" ); document.write( "b = 9.5\r
\n" ); document.write( "\n" ); document.write( "The equation of the parallel line then is y = (-1/4)*x + 9.5 \n" ); document.write( "

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