document.write( "Question 495581: Write an equation of a line that passes through the point (9,-1) and is parallel to x+y=6. Write three different equations in standard form, point slope form, and slope-intercept form. \n" ); document.write( "

Algebra.Com's Answer #336118 by oberobic(2304) $\"\"$ $\"About$

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The line x+y = 6:
\n" ); document.write( "x + y = 6
\n" ); document.write( "y = -x + 6
\n" ); document.write( "So the slope, m, is -1.
\n" ); document.write( "The y-intercept, b, is 6
\n" ); document.write( ".
\n" ); document.write( "The desired line is parallel to the above line, passing through the point (9,-1).
\n" ); document.write( "So it will have a slope of -1 to be parallel.
\n" ); document.write( "When x = 9, y = -1
\n" ); document.write( "y = mx + b
\n" ); document.write( "-1 = -1(9) + b
\n" ); document.write( "-1 = -9 + b
\n" ); document.write( "b = 8
\n" ); document.write( "therefore, the equation that goes through (9,-1) and is parallel is:
\n" ); document.write( "y = -x + 8
\n" ); document.write( ".
\n" ); document.write( "In the following graph, the original equation is in red; the second equation is in green.
\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-1%2Ax%2B6%2C-1%2Ax%2B8%29\"$ \n" ); document.write( "

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