document.write( "Question 661988: how do i write an equation of the line in standard form that passes through (1,2) and (3,16)\r
\n" ); document.write( "\n" ); document.write( "i got:
\n" ); document.write( "-7x+y=5 \r
\n" ); document.write( "\n" ); document.write( "i put it in slope intercept then in standard.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #411859 by Alan3354(69443) $\"\"$ $\"About$

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how do i write an equation of the line in standard form that passes through (1,2) and (3,16)
\n" ); document.write( "-----------------
\n" ); document.write( "Find the slope, m
\n" ); document.write( "m = diffy/diffx = (16-2)/(3-1)
\n" ); document.write( "m = 7
\n" ); document.write( "------
\n" ); document.write( "Use y = mx + b and either point to find b, the y-intercept
\n" ); document.write( "2 = 7*1 + b
\n" ); document.write( "b = -5
\n" ); document.write( "-----------
\n" ); document.write( "--> y = 7x - 5
\n" ); document.write( "================
\n" ); document.write( "Using determinants:
\n" ); document.write( "|x y 1|
\n" ); document.write( "|1 2 1| = 0
\n" ); document.write( "|3 16 1|
\n" ); document.write( "-------
\n" ); document.write( "x*(2-16) - y*(1-3) + 1*(16-6) = 0
\n" ); document.write( "-14x + 2y + 10 = 0
\n" ); document.write( "7x - y = 5 \n" ); document.write( "

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