document.write( "Question 1178569: Give the General equation of the line, with integer coefficients ( Ax + By + C = 0, wherein A is always positive)
\n" ); document.write( "Show your complete solution. Incomplete solution will get deduction/s.\r
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\n" ); document.write( "\n" ); document.write( "1. has x intercept of 4 and y intercept of 7\r
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\n" ); document.write( "\n" ); document.write( "2. . has x intercept of -2/3 and y intercept of 1\r
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\n" ); document.write( "\n" ); document.write( "3. . has x intercept of -9 and y intercept of 4/5\r
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\n" ); document.write( "\n" ); document.write( "4. passing through ( 0 , 2) and ( 3/5 , 0 )
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Algebra.Com's Answer #807875 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "This is four examples of exactly the same kind of problem. We are not going to do all of your work for you; I will work one of them and then let you use that as an example to do the others.

\n" ); document.write( "x-intercept of 4 and y-intercept of 7....

\n" ); document.write( "(1) There is a little-used form for a linear equation using an x-intercept of a and a y-intercept of b:

\n" ); document.write( "\"x%2Fa%2By%2Fb=1\"

\n" ); document.write( "You can plug in the given intercepts and put the resulting equation in your general form.

\n" ); document.write( "\"x%2F4%2By%2F7=1\"
\n" ); document.write( "\"7x%2B4y=28\"
\n" ); document.write( "\"7x%2B4y-28=0\"

\n" ); document.write( "(2) Or you can use the given intercepts to determine the slope of the line and then use that slope and the given y-intercept to write to slope-intercept form of the equation, and then put the equation in general form.

\n" ); document.write( "With y-intercept b and x-intercept a, the slope of the line is -b/a. So

\n" ); document.write( "\"y+=+%28-7%2F4%29x%2B7\"
\n" ); document.write( "\"4y+=+-7x%2B28\"
\n" ); document.write( "\"7x%2B4y-28=0\"

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