document.write( "Question 1052165: Find an equation for the linear function which has y-intercept 2 and x-intercept 7. \n" ); document.write( "

Algebra.Com's Answer #667596 by Fombitz(32388) $\"\"$ $\"About$

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Start with a generic equation,
\n" ); document.write( " $\"ax%2Bby=1\"$
\n" ); document.write( "So when, $\"x=0\"$ , $\"y=2\"$ ,
\n" ); document.write( " $\"a%280%29%2Bb%282%29=1\"$
\n" ); document.write( " $\"b=1%2F2\"$
\n" ); document.write( "and
\n" ); document.write( "when $\"y=0\"$ , $\"x=7\"$
\n" ); document.write( " $\"a%287%29%2Bb%280%29=1\"$
\n" ); document.write( " $\"a=1%2F7\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"x%2F7%2Bb%2F2=1\"$
\n" ); document.write( " $\"2x%2B7y=14\"$
\n" ); document.write( "or any multiple of that equation,
\n" ); document.write( " $\"%282%2Aalpha%29x%2B%287%2Aalpha%29y=14%2Aalpha\"$
\n" ); document.write( "where $\"alpha\"$ is any non-zero real number. \n" ); document.write( "

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