The standard form of a linear equation is: color(red)(A)x + color(blue)(B)y = color(green)(C)
Where, if at all possible, color(red)(A), color(blue)(B), and color(green)(C)are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
First, expand the terms in parenthesis on the right side of the equation by multiplying each term within the parenthesis by a negative 1:
y - 4 = color(red)(-1)(x - 1)
y - 4 = (color(red)(-1) xx x) + (color(red)(-1) xx -1)
y - 4 = -x + 1
Now, add color(red)(4) and color(blue)(x) to each side of the equation to ensure both the x and y variables are on the left side of the equation and the constants are on the right side of the equation:
color(blue)(x) + y - 4 + color(red)(4) = color(blue)(x) - x + 1 + color(red)(4)
x + y - 0 = 0 + 5
x + y = 5
Or
color(red)(1)x + color(blue)(1)y = color(green)(5)
