document.write( "Question 362834: write the equation of a line in standard form that has equal non-zero x- and y- intercepts and passes through (6, -8) \n" ); document.write( "

Algebra.Com's Answer #258634 by robertb(5830) $\"\"$ $\"About$

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Use the intercept form of the equation: $\"x%2Fa+%2By%2Fb+=+1\"$ . Since the x- and y-intercepts are equal, a = b, so the equation becomes
\n" ); document.write( " $\"x%2Fa+%2B+y%2Fa+=+1\"$ . Substitute the coordinates of the given point into this equation:
\n" ); document.write( " $\"6%2Fa+%2B+-8%2Fa+=+1\"$ ,
\n" ); document.write( " $\"-2%2Fa+=+1\"$ , or a = -2. Therefore the equation is
\n" ); document.write( " $\"-x%2F2-y%2F2+=+1\"$ . \n" ); document.write( "

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