document.write( "Question 391291: write in slope-intercept form the equation of the line that passes through the given point and has the given slope (1/3,-5), m=8 \n" ); document.write( "

Algebra.Com's Answer #277574 by haileytucki(390) $\"\"$ $\"About$

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((1)/(3),-5),m=8\r
\n" ); document.write( "\n" ); document.write( "Find the value of b using the formula for the equation of a line.
\n" ); document.write( "y=mx+b\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of m into the equation.
\n" ); document.write( "y=(8)*x+b\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of x into the equation.
\n" ); document.write( "y=(8)*((1)/(3))+b\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of y into the equation.
\n" ); document.write( "(-5)=(8)*((1)/(3))+b\r
\n" ); document.write( "\n" ); document.write( "Since b 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( "(8)*((1)/(3))+b=(-5)\r
\n" ); document.write( "\n" ); document.write( "Multiply (8) by ((1)/(3)) to get (8)((1)/(3)).
\n" ); document.write( "(8)((1)/(3))+b=(-5)\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression -5.
\n" ); document.write( "(8)((1)/(3))+b=-5\r
\n" ); document.write( "\n" ); document.write( "Multiply 8 by (1)/(3) to get (8)/(3).
\n" ); document.write( "((8)/(3))+b=-5\r
\n" ); document.write( "\n" ); document.write( "Reorder the polynomial (8)/(3)+b alphabetically from left to right, starting with the highest order term.
\n" ); document.write( "b+(8)/(3)=-5\r
\n" ); document.write( "\n" ); document.write( "Find the value of b.
\n" ); document.write( "b=-(23)/(3)\r
\n" ); document.write( "\n" ); document.write( "Now that the values of m(slope) and b(y-intercept) are known, substitute them into y=mx+b to find the equation of the line.
\n" ); document.write( "y=8x-(23)/(3) \n" ); document.write( "

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