The correct Standard Form of the equation \( y=x+5 \) : (Type correct answer without spaces. Use all lower-case.)

The standard form of a linear equation is \( ax + by = c \), where \( a \), \( b \), and \( c \) are real numbers and \( a \) and \( b \) are not both zero. To convert the given equation \( y = x + 5 \) into standard form, we need to rearrange it so that it is in the form \( ax + by = c \). Subtract \( x \) from both sides of the equation: \( y - x = x + 5 - x \) \( y - x = 5 \) Now, we can rewrite the equation in standard form by multiplying both sides by \( -1 \) to make the coefficient of \( x \) positive: \( -1(y - x) = -1(5) \) \( -y + x = -5 \) Finally, we can rewrite the equation in the form \( ax + by = c \) by multiplying both sides by \( -1 \) again: \( -1(-y + x) = -1(-5) \) \( y - x = 5 \) Therefore, the standard form of the equation \( y = x + 5 \) is \( y - x = 5 \). #### y-x=5