Cody was given two points ( ) ((1)/(2), 3) and((2)/(3) , 6), on a line and asked to create a linear equation in standard form. Cody's work is shown. Identify any errors and correct them.

m =(6-3)/((2)/(3)-(1)/(2))=(3)/((1)/( 6))=(3)/((1)/(6))=(1)/(2)
y - 6 = (1)/(2)(x-(2)/(3))
y - 6 = (1)/(2)x-(1)/(3)
2y - 12 = x -(2)/(3)
-x + 2y = (34)/(3)
Cody made an error while finding the slope: = (3)/((1)/(6))=3( _(()) )=_().
Cody also should have multiplied both sides of the equation by _(())
, not 2, and should have multiplied all the terms. The equation should be _(()) .