document.write( "Question 391290: write in slope-intercept form the equation of the line that passes through the given point and has the given slope (2,6), m=2 \n" ); document.write( "

Algebra.Com's Answer #277576 by haileytucki(390) $\"\"$ $\"About$

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(2,6),m=2\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=(2)*x+b\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of x into the equation.
\n" ); document.write( "y=(2)*(2)+b\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of y into the equation.
\n" ); document.write( "(6)=(2)*(2)+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( "(2)*(2)+b=(6)\r
\n" ); document.write( "\n" ); document.write( "Multiply (2) by (2) to get (2)(2).
\n" ); document.write( "(2)(2)+b=(6)\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 6.
\n" ); document.write( "(2)(2)+b=6\r
\n" ); document.write( "\n" ); document.write( "Multiply 2 by 2 to get 4.
\n" ); document.write( "(4)+b=6\r
\n" ); document.write( "\n" ); document.write( "Reorder the polynomial 4+b alphabetically from left to right, starting with the highest order term.
\n" ); document.write( "b+4=6\r
\n" ); document.write( "\n" ); document.write( "Find the value of b.
\n" ); document.write( "b=2\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=2x+2 \n" ); document.write( "

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