document.write( "Question 389095: Find the slope and the y-intercept of the line \r
\n" ); document.write( "\n" ); document.write( "10x=3y+6\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #275594 by haileytucki(390) $\"\"$ $\"About$

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10x=3y+6\r
\n" ); document.write( "\n" ); document.write( "Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
\n" ); document.write( "3y+6=10x\r
\n" ); document.write( "\n" ); document.write( "Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides.
\n" ); document.write( "3y=-6+10x\r
\n" ); document.write( "\n" ); document.write( "Move all terms not containing y to the right-hand side of the equation.
\n" ); document.write( "3y=10x-6\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 3.
\n" ); document.write( "(3y)/(3)=(10x)/(3)-(6)/(3)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "y=(10x)/(3)-(6)/(3)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "y=(10x)/(3)-2\r
\n" ); document.write( "\n" ); document.write( "To find the slope and y intercept, use the y=mx+b formula where m=slope and b is the y intercept.
\n" ); document.write( "y=mx+b\r
\n" ); document.write( "\n" ); document.write( "Using the y=mx+b formula, m=(10)/(3) and b=-2.
\n" ); document.write( "m=(10)/(3), b=-2 \n" ); document.write( "

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