Standard Form of a line is:
Ax + By = C where A is a positive integer, and B, and C are integers.
So we have a few conditions we must meet.
We can plug those numbers into our slopeintercept equation (Y= M * X + B) where M is the slope and B is the Yintercept.
We will first use the points to solve for B, and then convert that to Standard Form:
Solve for B:
1 = 2 * (5) + B
1  ( 2 * (5) ) = B
1 + 10 = B = 11
Convert to Standard Form:
Y = 2 * X + 11 ; Subtract Y from both sides to keep A positive
0 = 2 * X  Y + 11; Subtract 11 from both sides
11 = 2X  Y
Answer
2X  Y = 11
A = 2
B = 1
C = 11
The check:
11 = 2 (5)  (1) = 11
8/29/2013

Chris I.