document.write( "Question 134887: find the slope and y-intercept of the line: 4x - 3y = - 6 \n" ); document.write( "
Algebra.Com's Answer #98744 by dbashant(7)\"\" \"About 
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This equation is of the form ax + by = c, where a = 4, b = -3 and c = -6.\r
\n" ); document.write( "\n" ); document.write( "For equations of this form, the slope is -a/b, which = -4/-3 or 4/3.\r
\n" ); document.write( "\n" ); document.write( "The y-intercept is c/b, which is -6/-3 which simplifies to 2.\r
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\n" ); document.write( "\n" ); document.write( "Another way to solve this problem is to put the formula in to y = mx + b format, where m is the slope and b is the y-intercept. To do this we would first subtract 4x from each side to move the first term to the right of the equal sign.\r
\n" ); document.write( "\n" ); document.write( "4x -4x -3y = -6 -4x
\n" ); document.write( "then -3y = -4x -6\r
\n" ); document.write( "\n" ); document.write( "Next we divide each term by -3 to simplify.
\n" ); document.write( "(-3y/-3) = (-4x/-3) - (6/-3) \r
\n" ); document.write( "\n" ); document.write( "which simplifies to
\n" ); document.write( "y = (4/3)x + 2
\n" ); document.write( "Now we have y = mx + b form, and it is easy to see that m=4/3 and b=2.\r
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